#ifdef BODY ================================================================================================================================

int solve2(){
	lin(n);
	vector<lint>a;
	rep(k,1,n){
		lint ans=1;
		lint plf = k,pp;
		for(int i = 2; i*i<=k; ++i){
			pp = 0;
			while(plf%i==0){
				++pp; plf /= i;
			}if(pp){//縺薙％縺ｧ蝗謨ｰi**pp縺後ｏ縺九ｋ
				ans*=pp+1;
			}
		}if(plf!=1){//縺薙％縺ｧ蝗謨ｰplf**1縺後ｏ縺九ｋ
			ans*=2;
		}
		ans*=k;
		a.push_back(ans);
	}
	vector<lint>s(a.size()+1);
	rep(s.size())s[i+1] = s[i]+a[i];
	no("[");
	lint i=0;
	while(i<s.size()){
		no(s[i]<<",");
		i+=10000;
	}
	out("]");
	return 0;
}

int solve(){
	lin(n);
	vector<lint> s{0,493438984,2111951377,4934219787,9001617396,14343475240,20983549232,28938411754,38222337945,48855592736,60838190672,74193687476,88921806577,105036084674,122543360219,141448665788,161762066784,183487293576,206644111130,231208670456,257212470774,284661691691,313538542845,343862458416,375639765395,408875452660,443559968601,479723200366,517333062431,556419507715,596981215450,639007377350,682529770555,727538683373,774009411906,821990325762,871476277626,922424492974,974880028674,1028856951678,1084296609104,1141266683482,1199769931446,1259717167514,1321237832726,1384261675499,1448776778605,1514816915551,1582401743782,1651519869360,1722125036282,1794261310039,1867938145253,1943162263556,2019919516903,2098185047461,2177990752180,2259356996967,2342246760421,2426683306008,2512661322551,2600202380059,2689253635198,2779911682839,2872076940842,2965792104633,3061088597282,3157923865183,3256297470052,3356283349093,3457770622390,3560833491555,3665505698976,3771665000331,3879451580190,3988800240289,4099689915648,4212156072325,4326227368544,4441788452022,4558987534475,4677840157734,4798099997041,4920000663900,5043552008724,5168559295617,5295214000044,5423487803310,5553301601415,5684679342328,5817729717828,5952248621195,6088428461000,6226149254802,6365487771753,6506418585007,6648988032736,6793042552516,6938843502589,7086136299955,7235062807366,7385497922168,7537595029369,7691272542181,7846594285002,8003510992854,8162003209593,8322065666301,8483854862004,8647160290700,8812039622862,8978549345553,9146706496165,9316419043328,9487781973018,9660719955296,9835269787927,10011553756671,10189253411315,10368667669769,10549659220862,10732401846534,10916579731860,11102453274617,11289904537263,11479011688245,11669830174971,11862029769733,12056063349904,12251617620346,12448845177256,12647680629690,12848171370860,13050254462297,13253960158691,13459323658561,13666226110773,13874834196455,14085094521507,14296814468805,14510332007222,14725429439492,14942131234656,15160521193552,15380588954554,15602136739002,15825403657376,16050451660910,16276847020856,16505115662434,16734924755096,16966264626222,17199447614438,17434170056672,17670514459840,17908481787130,18148241497132,18389471243932,18632333327852,18877006937424,19123138141378,19371049907390,19620742818748,19871685989154,20124476869606,20379057733244,20634980880846,20892786409876,21152210987700,21413258654304,21675833225770,21940306512852,22206142281006,22473855635042,22743180271196,23013964372551,23286698574789,23560888221575,23836769564907,24114378406399,24393634293809,24674416929987,24956947315787,25241193314980,25526998756870,25814409354826,26103616946734,26394550063000,26686893099848,26981155333407,27276821356759,27574386655175,27873535407821,28174159348173,28476594164494,28780788606772,29086633471688,29393966055558,29703149003024,30013792137851,30326413365285,30640395292273,30956069654443,31273523102626,31592664449728,31913376078550,32235842932848,32560029990049,32885785039643,33213220430143,33542358268005,33873031165364,34205581585566,34539604444304,34875425263721,35212812420453,35552154166961,35892886791151,36235517412420,36579557281204,36925459066686,37272877068179,37622167432867,37972983625527,38325669456310,38679944926812,39035687683706,39393229506853,39752627629789,40113337934391,40476248899052,40840525066648,41206411398402,41574140883741,41943676682207,42314367955206,42687136285026,43061485153064,43437687786881,43815302669763,44194833598353,44575932486140,44959075432376,45343572745399,45729521171181,46117511559977,46507039889452,46898189118372,47291122961301,47685728865579,48081994935671,48480082300526,48879970671808,49281110607237,49684086992257,50088943167842,50495479917520,50903466600692,51313347525789,51724975620189,52138123487538,52553108327972,52969581501827,53387767611137,53807963320230,54229542299288,54653198694933,55078208662363,55504960390211,55933215747316,56363615930452,56795212776465,57228909958313,57664215816822,58101239718024,58539707599783,58980252241083,59421892348898,59865706329526,60311259225171,60758384185743,61207170466520,61657753740090,62110005557983,62563875183571,63019567631040,63476896129040,63935958271999,64396829979171,64859270285018,65323182791149,65789089604569,66256629418190,66725831508196,67197154766221,67669778128369,68143846134308,68620152785028,69098036648615,69577694425039,70058785460280,70541587609951,71025938505929,71512452345322,72000611436936,72490226710653,72981712491617,73474739478198,73969802569251,74466324672669,74964555109988,75464743316958,75966455520027,76469922185833,76974918304364,77481786106093,77990116976087,78500489297008,79012557024984,79526167516159,80041527790312,80558645237098,81077594980197,81598055713779,82120713079294,82644353395127,83169941989863,83697504542732,84226394594512,84757231028297,85290161753688,85823956198104,86359994965751,86897880537014,87437307393462,87978318105507,88521402624739,89065833437896,89612148645041,90160177388367,90709780843282,91261462998831,91814670146287,92369737296000,92925795939321,93484427284737,94044459497514,94605692593587,95169619029369,95734736626700,96301520878991,96871003843775,97440790250114,98012538259925,98586604492967,99162032503100,99739464176165,100318795327755,100899258277840,101481591756225,102065855149715,102652068778038,103239275746737,103829147617875,104419705255676,105012670748303,105607087655847,106203258904286,106801251505039,107401147943134,108002269398516,108605669699699,109210412671028,109816898593848,110425621805189,111035349416856,111647260553880,112260978633767,112876414074318,113493082165965,114111807921375,114732129627940,115354581555727,115978374551469,116604201140710,117231448199853,117860345420030,118491457697962,119123896922237,119758228396194,120394329084663,121032207586387,121671762836798,122312774834877,122955612335878,123600339753238,124247228070109,124895026488944,125544979006721,126196993528335,126850549017804,127505199391685,128162238812474,128820653080288,129480852076751,130143314566922,130806818828029,131472491663433,132139863485890,132808680912837,133479467089246,134152010492156,134826295251391,135502107129054,136180066055547,136859038394801,137540475359704,138223390236401,138908157808408,139594113155195,140282617787827,140971935053758,141664050636387,142357602038586,143052689302720,143749192448739,144447897755264,145148497213081,145850281904976,146554080642842,147259491582477,147967040134080,148676185176293,149386679322656,150099453429042,150813537261139,151529826444886,152247135978549,152966937395338,153688169519778,154411235469265,155136321517588,155862218888277,156590458911006,157320579912726,158052520943755,158785663003084,159521080147969,160258283568446,160996569067233,161737467121483,162479234078350,163223256696949,163968850251200,164716254597751,165465511572167,166216722634706,166969089792981,167723475231634,168479936246421,169238102781982,169997490957786,170759095684543,171522119425146,172287112634491,173053807479870,173822301914317,174592676086419,175364856374134,176138491780787,176913242475822,177690692049615,178469553728962,179250407544097,180032530244167,180816973674988,181603061170895,182390930796476,183179904404611,183971218922672,184764302482181,185559352780607,186355484716640,187154167627305,187954463112172,188755167873661,189559787774578,190364265283477,191171258442543,191980195355334,192790925674795,193602556410512,194417016305967,195232645987818,196050188214189,196869911666370,197690504888822,198513424115241,199337980967136,200164364728679,200992441246692,201822370836189,202653868317500,203487295124995,204322582138612,205159280851458,205997845055705,206838686419778,207680223459897,208524389546180,209370037656611,210217713280204,211066783506201,211918221290312,212770051652978,213624780221079,214480891817874,215339170446071,216198966217860,217060656926613,217923890158764,218789180815693,219655779282864,220523735657387,221394090749349,222266481117362,223140061833265,224016558533452,224893676139605,225772746863650,226653316365413,227536174732100,228421314666947,229306948564404,230195066828025,231084619915589,231976153079776,232869522913489,233764396646712,234661096550023,235560022983960,236459761443283,237361938411048,238265786958041,239171714912618,240079430075503,240988397832690,241898812660791,242812185647676,243726278270952,244642548171917,245560254111198,246480586961269,247401317616792,248324577480015,249249827129502,250176645559885,251105483218834,252035928916781,252967864735060,253902107151677,254838098382990,255774984445791,256713920805122,257655416928771,258598042267722,259542772930910,260489350267409,261436917320998,262386403483379,263338334303632,264291434634157,265246857118052,266204009065415,267162706932416,268122443879733,269085526198458,270049088960461,271015374238472,271982522915917,272951354222680,273922507156707,274895612421442,275870379762381,276846598740350,277825672031685,278804570050134,279786370749447,280770739235134,281755465246921,282742772106696,283731559078148,284721682929865,285714250695616,286708743387977,287704245795420,288702721195441,289702014807874,290703569309949,291706201453858,292711324081941,293717366474056,294725901925083,295736053976404,296747592638013,297762174014958,298776908022377,299794469887084,300813564019813,301834201727288,302856699362737,303880788840754,304907289654363,305934819862268,306964702346215,307996718856936,309029824258801,310064151223148,311101637905109,312139951524896,313180253381239,314222805621412,315266553457537,316312042620248,317360134362523,318409439232054,319460499426217,320513384122962,321567622851745,322623930942812,323682486495499,324741853391528,325803695787761,326867219740652,327932450455477,328999565677832,330068744316709,331139300028798,332211422630039,333285673740620,334361760892115,335439825691086,336519086109011,337600169846864,338683695663679,339768196320246,340854960383245,341943058696612,343034472400869,344126288365936,345219904513529,346315581629252,347412434557053,348511792968136,349613032606555,350715682647270,351819912216247,352926548527444,354034344501769,355144048864876,356256480873339,357369113508715,358484442195342,359601854797041,360720410076300,361841581744271,362963722150674,364088108554029,365213714591214,366341568308709,367470747430202,368602095664463,369735789749694,370870069207777,372007153176608,373145655996233,374286076547576,375427962091615,376571542044574,377716999592043,378864539458650,380013795473175,381165217740896,382317332922921,383472680967630,384628186031971,385787504467500,386946111242933,388108089327077,389271682033460,390437889429971,391604283066184,392773416637483,393944435287130,395115604641767,396290295634134,397466595094813,398644056408120,399823884730061,401005593478536,402188826344049,403373694633520,404561981047791,405749179528776,406939431685005,408131530592604,409324954308067,410521348475975,411718608508472,412917829716085,414118956306590,415322188137827,416527085300694,417733433700427,418942331716724,420152374263135,421364002783104,422577395980403,423792898623764,425010124061273,426229374669116,427450147002323,428673624289944,429897374046936,431123533288353,432351372593538,433582822947449,434813006623636,436046483157627,437282894500928,438519040875971,439757019372828,440997965038867,442240079785140,443484462291313,444731555754762,445978339255250,447227855605997,448480086797544,449733248446751,450987322450746,452244765673393,453503381019818,454763522811227,456025584592066,457290058813673,458555247324046,459822864161615,461092949514555,462363708727082,463635895079489,464911820422952,466187687663221,467466366121452,468746616002817,470028210141922,471312757314047,472598203288748,473885272432371,475174594334501,476465015795706,477757744330055,479052416466724,480348819350435,481647182202860,482947253439277,484248512083034,485552313622173,486857969964978,488164574198429,489473701762655,490784291733168,492096644148075,493411300179502,494727689317357,496045307801936,497365255568609,498687449477284,500010568862547,501335747966526,502662434241804,503991704580965,505322052981958,506654432172067,507989000109970,509324212044955,510661840177448,512001532956817,513342503635826,514686036546604,516031076204871,517377724607508,518727343474553,520078145300410,521429056074467,522783440474442,524139131959187,525496543337174,526857422190838,528217444408577,529581632274134,530946662693627,532311834614760,533680546735483,535051704371342,536423313695403,537796691803370,539172201925316,540549877857205,541928823207352,543311223215741,544693475279016,546077959708393,547464036046802,548853348040761,550242029951411,551635523926500,553028620646503,554424387913560,555822264061929,557220889209512,558621696505469,560025230061866,561428802276184,562836065508759,564243999095306,565654085968561,567065128422242,568480038230125,569893956799790,571311613610574,572730240277725,574152005590562,575575248534959,576999225949768,578425754453253,579853875598684,581283722724127,582714549978061,584148485672108,585584064718129,587022127750674,588459065212505,589900936512440,591343575167211,592787459417657,594234550140282,595682150650359,597132206946714,598583745209687,600036645526326,601492242580143,602949321421683,604407846945578,605869107689303,607331619426194,608795868334189,610261785848438,611729774917537,613198814493223,614670553358276,616144676283965,617619625265780,619096104738785,620575746952334,622055857989353,623538035545969,625023113070734,626509523416503,627996839401640,629486032479553,630977512484618,632471202833598,633966389221247,635463114501108,636961255455435,638462431547104,639964402087269,641469367558646,642974633730974,644482906053419,645993122794254,647505205272109,649017299537750,650532361117315,652049535718977,653567690469176,655088215385491,656610553120008,658134774989261,659661281999214,661189158190086,662718348756195,664249968506936,665783385006535,667318419340188,668855510173177,670395367176565,671933916759436,673476282039307,675021515919670,676567144364893,678113830344156,679664533401168,681214994169811,682768038722362,684323080911191,685880774547598,687438716491527,688999801428499,690561394962114,692125743196273,693692366054624,695260333986021,696829289232270,698400976891086,699973824671271,701549673831838,703126187535455,704705200232828,706285619557381,707867195732873,709451438872926,711037992008427,712625794349158,714214048734419,715806001244514,717399924658778,718994316345727,720590677150446,722190402701363,723790621480140,725392923121004,726998055073987,728603228142062,730211681284985,731821322759290,733432010195075,735045851805207,736661443613214,738276491989247,739895882758532,741516581592161,743138445553167,744762322406730,746388997301993,748016553170068,749646313071567,751277273517719,752911159922144,754546104527913,756183236791540,757822044025127,759461429975294,761105197442634,762748254977255,764394705633220,766043425272075,767692336656182,769344916049218,770997444637057,772653366761276,774309714924197,775968333981206,777628415754614,779290962936659,780956682898140,782621238201333,784290892463104,785959628811126,787630213195247,789303762499222,790981165033981,792656355727226,794335711756712,796016413077051,797698155805268,799382276287517,801069050223796,802756444093190,804447590347769,806139404970524,807831658746729,809526235046184,811224631223428,812923504620281,814624418991302,816327543076999,818031317116686,819737557578338,821446543739323,823156207463724,824866912441477,826581337675850,828296149193646,830013193599069,831732352764316,833453767340721,835175712259152,836900951119010,838627288460105};
	
	lint m=n/10000, nn=m%10000;
	vector<lint>a;
	lint ans=s[m];
	rep(k,m*10000+1,n+1){
		lint an=1;
		lint plf = k,pp;
		for(int i = 2; i*i<=k; ++i){
			pp = 0;
			while(plf%i==0){
				++pp; plf /= i;
			}if(pp){//縺薙％縺ｧ蝗謨ｰi**pp縺後ｏ縺九ｋ
				an*=pp+1;
			}
		}if(plf!=1){//縺薙％縺ｧ蝗謨ｰplf**1縺後ｏ縺九ｋ
			an*=2;
		}
		an*=k;
		a.push_back(an);
	}
	each(a)ans+=e;
	out(ans);
	return 0;
}

#endif BODY ================================================================================================================================

//sub-BOF

// desktop
// author: Tqk

//#define _AOJ_
#define _C_INPUT_

#pragma region template

#pragma region basic
#define IN_FILE "./in.txt"
//#pragma GCC optimize ("O3")
#pragma warning(disable: 4455 4244 4067 4068 4996)
#pragma GCC target ("avx")
#pragma GCC diagnostic ignored "-Wliteral-suffix"
#define NOMINMAX
#include "bits/stdc++.h"
using namespace std;
typedef int64_t lint;
typedef long double ld;
typedef string cs;
#define linf 1152921504606846976
inline lint operator""z(const unsigned long long n){ return lint(n); }
#pragma endregion

#pragma region rep
#define _vcppunko4(tuple) _getname4 tuple
#define _getname4(_1,_2,_3,_4,name,...) name
#define _getname3(_1,_2,_3,name,...) name
#define _trep2(tuple) _rep2 tuple
#define _trep3(tuple) _rep3 tuple
#define _trep4(tuple) _rep4 tuple
#define _rep1(n) for(lint i=0;i<n;++i)
#define _rep2(i,n) for(lint i=0;i<n;++i)
#define _rep3(i,a,b) for(lint i=a;i<b;++i)
#define _rep4(i,a,b,c) for(lint i=a;i<b;i+=c)
#define _trrep2(tuple) _rrep2 tuple
#define _trrep3(tuple) _rrep3 tuple
#define _trrep4(tuple) _rrep4 tuple
#define _rrep1(n) for(lint i=n-1;i>=0;--i)
#define _rrep2(i,n) for(lint i=n-1;i>=0;--i)
#define _rrep3(i,a,b) for(lint i=b-1;i>=a;--i)
#define _rrep4(i,a,b,c) for(lint i=a+(b-a-1)/c*c;i>=a;i-=c)
#define rep(...) _vcppunko4((__VA_ARGS__,_trep4,_trep3,_trep2,_rep1))((__VA_ARGS__))
#define per(...) _vcppunko4((__VA_ARGS__,_trrep4,_trrep3,_trrep2,_rrep1))((__VA_ARGS__))
#define each(c) for(auto &e:c)
#pragma endregion

#pragma region io
template<class T>
istream& operator>>(istream& is,vector<T>& vec);
template<class T,size_t size>
istream& operator>>(istream& is,array<T,size>& vec);
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p);
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec);
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p);
template<class T>
istream& operator>>(istream& is,vector<T>& vec){ for(T& x: vec) is>>x;return is; }
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p){ is>>p.first;is>>p.second;return is; }
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p){ os<<p.first<<" "<<p.second;return os; }
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec){ os<<vec[0];rep(i,1,vec.size())os<<' '<<vec[i];return os; }
template<class T>
ostream& operator<<(ostream& os,deque<T>& deq){ os<<deq[0];rep(i,1,deq.size())os<<' '<<deq[i];return os; }
template<class T>
ostream& operator<<(ostream& os,set<T>& s){ each(s)os<<e<<" ";return os; }

#ifdef __ENV_TQK__
/*
ifstream infile(IN_FILE);
template<class T>
ifstream& operator>>(ifstream& is,vector<T>& vec);
template<class T,size_t size>
ifstream& operator>>(ifstream& is,array<T,size>& vec);
template<class T,class L>
ifstream& operator>>(ifstream& is,pair<T,L>& p);
template<class T>
ifstream& operator>>(ifstream& is,vector<T>& vec){ for(T& x: vec) is>>x;return is; }
template<class T,class L>
ifstream& operator>>(ifstream& is,pair<T,L>& p){ is>>p.first;is>>p.second;return is; }
inline void fin(){}
template <class Head,class... Tail>
inline void fin(Head&& head,Tail&&... tail){ infile>>head;fin(move(tail)...); }
*/
#include<Windows.h>
HANDLE hConsole = GetStdHandle(STD_OUTPUT_HANDLE);
inline void in(){ SetConsoleTextAttribute(hConsole,10); }
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){
	SetConsoleTextAttribute(hConsole,15);
	cin>>head;in(move(tail)...);
}
#else
inline void in(){}
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){ cin>>head;in(move(tail)...); }
#endif

inline bool out(){ return(cout<<'\n',0); }
template <class T>
inline bool out(T t){ return(cout<<t<<'\n',0); }
template <class Head,class... Tail>
inline bool out(Head head,Tail... tail){ cout<<head<<' ';out(move(tail)...);return 0; }
template <class T>
inline void alloc(T &c,lint s){ rep(c.size())c[i].resize(s); }
#define alc alloc
#ifdef __ENV_TQK__
inline bool deb(){ SetConsoleTextAttribute(hConsole,10); return(cout<<'\n',0); }
template <class T>
inline bool deb(T t){ return(SetConsoleTextAttribute(hConsole,12),cout<<t<<'\n',SetConsoleTextAttribute(hConsole,10),0); }
template <class Head,class... Tail>
inline bool deb(Head head,Tail... tail){
	SetConsoleTextAttribute(hConsole,12);
	cout<<head<<' ';deb(move(tail)...);return 0;
}
#define dsp(ex) sp(ex)
#define dno(ex) no(ex)
#define look(v) SetConsoleTextAttribute(hConsole,12),cout<<#v<<": ",deb(v);
#else
#define deb(...) 0
#define dsp(ex) 0
#define dno(ex) 0
#define look(v) 0
#endif

#pragma endregion

#pragma region TA
#define lin(...) lint __VA_ARGS__;in(__VA_ARGS__)
#define stin(...) string __VA_ARGS__;in(__VA_ARGS__)
#define vin(type,name,size) vector<type> name(size);in(name)
#define all(v) v.begin(),v.end()
#define pb push_back
#define fi e.first
#define se e.second
#define YES(c) cout<<((c)?"YES\n":"NO\n"),0
#define Yes(c) cout<<((c)?"Yes\n":"No\n"),0
#define POSSIBLE(c) cout<<((c)?"POSSIBLE\n":"IMPOSSIBLE\n"),0
#define Possible(c) cout<<((c)?"Possible\n":"Impossible\n"),0
#define o(p) cout<<p<<endl,0
#define sp(p) cout<<p<<" ",0
#define no(p) cout<<p,0
#define psort(l,r) if(l>r)swap(l,r);
inline constexpr lint gcd(lint a,lint b){ while(b){ lint c=b;b=a%b;a=c; }return a; }
inline constexpr lint lcm(lint a,lint b){ return a/gcd(a,b)*b; }
template<typename T>
inline constexpr bool chmin(T &mn,const T &cnt){ if(mn>cnt){ mn=cnt;return 1; } else return 0; }
template<typename T>
inline constexpr bool chmax(T &mx,const T &cnt){ if(mx<cnt){ mx=cnt;return 1; } else return 0; }
#define fn(ty1,ty2,ex) [](ty1 l,ty2 r){ return(ex); }
#define lfn(ex) [](lint l,lint r){ return(ex); }

#pragma endregion

#pragma region P
class P{ public:lint f,s; P(lint a,lint b):f(a),s(b){}; P():f(0),s(0){}; };
istream& operator>>(istream& os,P& p){ os>>p.f>>p.s;return os; }
constexpr bool operator<(const P& l,const P& r){ return(l.f-r.f?l.f<r.f:l.s<r.s); }
constexpr bool operator>(const P& l,const P& r){ return(l.f-r.f?l.f>r.f:l.s>r.s); }
constexpr bool operator<=(const P& l,const P& r){ return!(l.f-r.f?l.f>r.f:l.s>r.s); }
constexpr bool operator>=(const P& l,const P& r){ return!(l.f-r.f?l.f<r.f:l.s<r.s); }
P operator+(const P& l,const P& r){return P(l.f+r.f,l.s+r.s);}
P operator-(const P& l,const P& r){return P(l.f-r.f,l.s-r.s);}
P operator-(const P& r){return P(-r.f,-r.s); }
P operator*(const lint& l,const P& r){return P(l*r.f,l*r.s); }
P operator/(const P& l,const lint& r){return P(l.f/r,l.s/r); }
#pragma endregion

#pragma region start
struct Start{
	Start(){
#ifndef _C_INPUT_
		cin.tie(0),cout.tie(0);
		ios::sync_with_stdio(0);
#endif
		cout<<fixed<<setprecision(16);
	}
} __start;
#pragma endregion

#pragma endregion

#pragma region const
#define MAXN 101010
#define mod 1000000007
const ld pi=acos(-1);
const ld tau=(1.+sqrt(5))/2.;
P d4[4]={P(1,0),P(0,1),P(-1,0),P(0,-1)};
P d8[8]={P(1,0),P(1,1),P(0,1),P(-1,1),P(-1,0),P(-1,-1),P(0,-1),P(1,-1)};
const string AUTO_YES = "Yay!";
const string AUTO_NO = ":(";
int cho(bool c,cs yes=AUTO_YES,cs no=AUTO_NO){
	return out((c?yes:no));
}
#pragma endregion

#pragma region solve

int solve2(){
	lin(n);
	vector<lint>a;
	rep(k,1,n){
		lint ans=1;
		lint plf = k,pp;
		for(int i = 2; i*i<=k; ++i){
			pp = 0;
			while(plf%i==0){
				++pp; plf /= i;
			}if(pp){//縺薙％縺ｧ蝗謨ｰi**pp縺後ｏ縺九ｋ
				ans*=pp+1;
			}
		}if(plf!=1){//縺薙％縺ｧ蝗謨ｰplf**1縺後ｏ縺九ｋ
			ans*=2;
		}
		ans*=k;
		a.push_back(ans);
	}
	vector<lint>s(a.size()+1);
	rep(s.size())s[i+1] = s[i]+a[i];
	no("[");
	lint i=0;
	while(i<s.size()){
		no(s[i]<<",");
		i+=10000;
	}
	out("]");
	return 0;
}

int solve(){
	lin(n);
	vector<lint> s{0,493438984,2111951377,4934219787,9001617396,14343475240,20983549232,28938411754,38222337945,48855592736,60838190672,74193687476,88921806577,105036084674,122543360219,141448665788,161762066784,183487293576,206644111130,231208670456,257212470774,284661691691,313538542845,343862458416,375639765395,408875452660,443559968601,479723200366,517333062431,556419507715,596981215450,639007377350,682529770555,727538683373,774009411906,821990325762,871476277626,922424492974,974880028674,1028856951678,1084296609104,1141266683482,1199769931446,1259717167514,1321237832726,1384261675499,1448776778605,1514816915551,1582401743782,1651519869360,1722125036282,1794261310039,1867938145253,1943162263556,2019919516903,2098185047461,2177990752180,2259356996967,2342246760421,2426683306008,2512661322551,2600202380059,2689253635198,2779911682839,2872076940842,2965792104633,3061088597282,3157923865183,3256297470052,3356283349093,3457770622390,3560833491555,3665505698976,3771665000331,3879451580190,3988800240289,4099689915648,4212156072325,4326227368544,4441788452022,4558987534475,4677840157734,4798099997041,4920000663900,5043552008724,5168559295617,5295214000044,5423487803310,5553301601415,5684679342328,5817729717828,5952248621195,6088428461000,6226149254802,6365487771753,6506418585007,6648988032736,6793042552516,6938843502589,7086136299955,7235062807366,7385497922168,7537595029369,7691272542181,7846594285002,8003510992854,8162003209593,8322065666301,8483854862004,8647160290700,8812039622862,8978549345553,9146706496165,9316419043328,9487781973018,9660719955296,9835269787927,10011553756671,10189253411315,10368667669769,10549659220862,10732401846534,10916579731860,11102453274617,11289904537263,11479011688245,11669830174971,11862029769733,12056063349904,12251617620346,12448845177256,12647680629690,12848171370860,13050254462297,13253960158691,13459323658561,13666226110773,13874834196455,14085094521507,14296814468805,14510332007222,14725429439492,14942131234656,15160521193552,15380588954554,15602136739002,15825403657376,16050451660910,16276847020856,16505115662434,16734924755096,16966264626222,17199447614438,17434170056672,17670514459840,17908481787130,18148241497132,18389471243932,18632333327852,18877006937424,19123138141378,19371049907390,19620742818748,19871685989154,20124476869606,20379057733244,20634980880846,20892786409876,21152210987700,21413258654304,21675833225770,21940306512852,22206142281006,22473855635042,22743180271196,23013964372551,23286698574789,23560888221575,23836769564907,24114378406399,24393634293809,24674416929987,24956947315787,25241193314980,25526998756870,25814409354826,26103616946734,26394550063000,26686893099848,26981155333407,27276821356759,27574386655175,27873535407821,28174159348173,28476594164494,28780788606772,29086633471688,29393966055558,29703149003024,30013792137851,30326413365285,30640395292273,30956069654443,31273523102626,31592664449728,31913376078550,32235842932848,32560029990049,32885785039643,33213220430143,33542358268005,33873031165364,34205581585566,34539604444304,34875425263721,35212812420453,35552154166961,35892886791151,36235517412420,36579557281204,36925459066686,37272877068179,37622167432867,37972983625527,38325669456310,38679944926812,39035687683706,39393229506853,39752627629789,40113337934391,40476248899052,40840525066648,41206411398402,41574140883741,41943676682207,42314367955206,42687136285026,43061485153064,43437687786881,43815302669763,44194833598353,44575932486140,44959075432376,45343572745399,45729521171181,46117511559977,46507039889452,46898189118372,47291122961301,47685728865579,48081994935671,48480082300526,48879970671808,49281110607237,49684086992257,50088943167842,50495479917520,50903466600692,51313347525789,51724975620189,52138123487538,52553108327972,52969581501827,53387767611137,53807963320230,54229542299288,54653198694933,55078208662363,55504960390211,55933215747316,56363615930452,56795212776465,57228909958313,57664215816822,58101239718024,58539707599783,58980252241083,59421892348898,59865706329526,60311259225171,60758384185743,61207170466520,61657753740090,62110005557983,62563875183571,63019567631040,63476896129040,63935958271999,64396829979171,64859270285018,65323182791149,65789089604569,66256629418190,66725831508196,67197154766221,67669778128369,68143846134308,68620152785028,69098036648615,69577694425039,70058785460280,70541587609951,71025938505929,71512452345322,72000611436936,72490226710653,72981712491617,73474739478198,73969802569251,74466324672669,74964555109988,75464743316958,75966455520027,76469922185833,76974918304364,77481786106093,77990116976087,78500489297008,79012557024984,79526167516159,80041527790312,80558645237098,81077594980197,81598055713779,82120713079294,82644353395127,83169941989863,83697504542732,84226394594512,84757231028297,85290161753688,85823956198104,86359994965751,86897880537014,87437307393462,87978318105507,88521402624739,89065833437896,89612148645041,90160177388367,90709780843282,91261462998831,91814670146287,92369737296000,92925795939321,93484427284737,94044459497514,94605692593587,95169619029369,95734736626700,96301520878991,96871003843775,97440790250114,98012538259925,98586604492967,99162032503100,99739464176165,100318795327755,100899258277840,101481591756225,102065855149715,102652068778038,103239275746737,103829147617875,104419705255676,105012670748303,105607087655847,106203258904286,106801251505039,107401147943134,108002269398516,108605669699699,109210412671028,109816898593848,110425621805189,111035349416856,111647260553880,112260978633767,112876414074318,113493082165965,114111807921375,114732129627940,115354581555727,115978374551469,116604201140710,117231448199853,117860345420030,118491457697962,119123896922237,119758228396194,120394329084663,121032207586387,121671762836798,122312774834877,122955612335878,123600339753238,124247228070109,124895026488944,125544979006721,126196993528335,126850549017804,127505199391685,128162238812474,128820653080288,129480852076751,130143314566922,130806818828029,131472491663433,132139863485890,132808680912837,133479467089246,134152010492156,134826295251391,135502107129054,136180066055547,136859038394801,137540475359704,138223390236401,138908157808408,139594113155195,140282617787827,140971935053758,141664050636387,142357602038586,143052689302720,143749192448739,144447897755264,145148497213081,145850281904976,146554080642842,147259491582477,147967040134080,148676185176293,149386679322656,150099453429042,150813537261139,151529826444886,152247135978549,152966937395338,153688169519778,154411235469265,155136321517588,155862218888277,156590458911006,157320579912726,158052520943755,158785663003084,159521080147969,160258283568446,160996569067233,161737467121483,162479234078350,163223256696949,163968850251200,164716254597751,165465511572167,166216722634706,166969089792981,167723475231634,168479936246421,169238102781982,169997490957786,170759095684543,171522119425146,172287112634491,173053807479870,173822301914317,174592676086419,175364856374134,176138491780787,176913242475822,177690692049615,178469553728962,179250407544097,180032530244167,180816973674988,181603061170895,182390930796476,183179904404611,183971218922672,184764302482181,185559352780607,186355484716640,187154167627305,187954463112172,188755167873661,189559787774578,190364265283477,191171258442543,191980195355334,192790925674795,193602556410512,194417016305967,195232645987818,196050188214189,196869911666370,197690504888822,198513424115241,199337980967136,200164364728679,200992441246692,201822370836189,202653868317500,203487295124995,204322582138612,205159280851458,205997845055705,206838686419778,207680223459897,208524389546180,209370037656611,210217713280204,211066783506201,211918221290312,212770051652978,213624780221079,214480891817874,215339170446071,216198966217860,217060656926613,217923890158764,218789180815693,219655779282864,220523735657387,221394090749349,222266481117362,223140061833265,224016558533452,224893676139605,225772746863650,226653316365413,227536174732100,228421314666947,229306948564404,230195066828025,231084619915589,231976153079776,232869522913489,233764396646712,234661096550023,235560022983960,236459761443283,237361938411048,238265786958041,239171714912618,240079430075503,240988397832690,241898812660791,242812185647676,243726278270952,244642548171917,245560254111198,246480586961269,247401317616792,248324577480015,249249827129502,250176645559885,251105483218834,252035928916781,252967864735060,253902107151677,254838098382990,255774984445791,256713920805122,257655416928771,258598042267722,259542772930910,260489350267409,261436917320998,262386403483379,263338334303632,264291434634157,265246857118052,266204009065415,267162706932416,268122443879733,269085526198458,270049088960461,271015374238472,271982522915917,272951354222680,273922507156707,274895612421442,275870379762381,276846598740350,277825672031685,278804570050134,279786370749447,280770739235134,281755465246921,282742772106696,283731559078148,284721682929865,285714250695616,286708743387977,287704245795420,288702721195441,289702014807874,290703569309949,291706201453858,292711324081941,293717366474056,294725901925083,295736053976404,296747592638013,297762174014958,298776908022377,299794469887084,300813564019813,301834201727288,302856699362737,303880788840754,304907289654363,305934819862268,306964702346215,307996718856936,309029824258801,310064151223148,311101637905109,312139951524896,313180253381239,314222805621412,315266553457537,316312042620248,317360134362523,318409439232054,319460499426217,320513384122962,321567622851745,322623930942812,323682486495499,324741853391528,325803695787761,326867219740652,327932450455477,328999565677832,330068744316709,331139300028798,332211422630039,333285673740620,334361760892115,335439825691086,336519086109011,337600169846864,338683695663679,339768196320246,340854960383245,341943058696612,343034472400869,344126288365936,345219904513529,346315581629252,347412434557053,348511792968136,349613032606555,350715682647270,351819912216247,352926548527444,35403434450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303762499222,790981165033981,792656355727226,794335711756712,796016413077051,797698155805268,799382276287517,801069050223796,802756444093190,804447590347769,806139404970524,807831658746729,809526235046184,811224631223428,812923504620281,814624418991302,816327543076999,818031317116686,819737557578338,821446543739323,823156207463724,824866912441477,826581337675850,828296149193646,830013193599069,831732352764316,833453767340721,835175712259152,836900951119010,838627288460105};
	
	lint m=n/10000, nn=m%10000;
	vector<lint>a;
	lint ans=s[m];
	rep(k,m*10000+1,n+1){
		lint an=1;
		lint plf = k,pp;
		for(int i = 2; i*i<=k; ++i){
			pp = 0;
			while(plf%i==0){
				++pp; plf /= i;
			}if(pp){//縺薙％縺ｧ蝗謨ｰi**pp縺後ｏ縺九ｋ
				an*=pp+1;
			}
		}if(plf!=1){//縺薙％縺ｧ蝗謨ｰplf**1縺後ｏ縺九ｋ
			an*=2;
		}
		an*=k;
		a.push_back(an);
	}
	each(a)ans+=e;
	out(ans);
	return 0;
}

#pragma endregion

#pragma region main

int main(){
	solve();
}

#pragma endregion

//sub-EOF


Measured memory_bytes: 3776