// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::*;
#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
#[allow(unused_imports)]
use std::f64::consts::*;

#[allow(unused)]
const INF: usize = std::usize::MAX / 4;
#[allow(unused)]
const M: usize = 1000000007;

fn gcd(a: usize, b: usize) -> usize {
    if b > a {
        return gcd(b, a);
    }
    if a % b == 0 {
        return b;
    }
    gcd(b, a % b)
}

fn main() {
    input! {
        k: usize,
    }
    let mut gcd_count = HashMap::new();
    for a in 1..=k {
        for b in 1..=k {
            let x = gcd(a, b);
            *gcd_count.entry(x).or_insert(0) += 1;
        }
    }
    let mut s = 0;
    for (&x, count) in gcd_count.iter() {
        for c in 1..=k {
            s += count * gcd(x, c);
        }
    }
    println!("{}", s);
}
*/

fn main() {
    let exe = "/tmp/binEE9EF507";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGAyBAAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAABcEAAAAAAAAFwQAAAAAAAAAIAAAAAAA
AQAAAAYAAABAGgQAAAAAAEAaZAAAAAAAQBpkAAAAAACYFwAAAAAAAAgzAAAAAAAAAAAgAAAAAAAHAAAA
BAAAAEAaBAAAAAAAQBpkAAAAAABAGmQAAAAAADAAAAAAAAAA6AAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
LNMDAAAAAAAs00MAAAAAACzTQwAAAAAARAkAAAAAAABECQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAEAaBAAAAAAA
QBpkAAAAAABAGmQAAAAAAMAVAAAAAAAAwBUAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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Measured memory_bytes: 2908