#include <stdio.h>
#include <math.h>

int main() {
    long long n;
    scanf("%lld", &n);

    long long out = 0;

    for (long long i = 1; i <= n; i++) {
        long long tmp = 1;
        for (long long k = 1; k < i; k++) {
            long long tmp2 = (long long)floor(pow((double)i, 1.0 / k));
            if (tmp2 == 1) {
                break;
            } else {
                tmp *= tmp2;
            }
        }
        out = (out + tmp) % 998244353;
    }

    printf("%lld\n", out);
    return 0;
}