#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
use std::io::Read;

#[allow(dead_code)]
fn getline() -> String {
    let mut ret = String::new();
    std::io::stdin().read_line(&mut ret).ok().unwrap();
    ret
}

fn get_word() -> String {
    let stdin = std::io::stdin();
    let mut stdin=stdin.lock();
    let mut u8b: [u8; 1] = [0];
    loop {
        let mut buf: Vec<u8> = Vec::with_capacity(16);
        loop {
            let res = stdin.read(&mut u8b);
            if res.unwrap_or(0) == 0 || u8b[0] <= b' ' {
                break;
            } else {
                buf.push(u8b[0]);
            }
        }
        if buf.len() >= 1 {
            let ret = String::from_utf8(buf).unwrap();
            return ret;
        }
    }
}

#[allow(dead_code)]
fn get<T: std::str::FromStr>() -> T { get_word().parse().ok().unwrap() }

fn solve() {
    let n: usize = get();
    let mut fac = vec![0; n + 1];
    let mut maxp = 2;
    for i in 2..n + 1 {
        if fac[i] != 0 { continue; }
        maxp = i;
        for j in 1..n / i + 1 {
            fac[i * j] = i;
        }
    }
    let mut ans = 1;
    for i in 2..n + 1 {
        if i != maxp {
            let mut v = i;
            let p = fac[v];
            let mut e = 0;
            while v % p == 0 {
                v /= p;
                e += 1;
            }
            if v == 1 {
                ans = ans * p as i64 % 998_244_353;
            }
        }
    }
    println!("{}", ans);
}

fn main() {
    // In order to avoid potential stack overflow, spawn a new thread.
    let stack_size = 104_857_600; // 100 MB
    let thd = std::thread::Builder::new().stack_size(stack_size);
    thd.spawn(|| solve()).unwrap().join().unwrap();
}