from math import gcd

MOD = 998244353
lcm = lambda a, b: a * b // gcd(a, b)
modinv = lambda a, mod=MOD: pow(a, mod - 2, mod)


def primes(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n ** 0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return (i for i in range(n + 1) if is_prime[i])


N = int(input())

P = tuple(primes(N))
L = 1
for p in P:
    tmp = N
    ct = 0
    while tmp >= p:
        tmp //= p
        ct += 1
    L *= pow(p, ct, MOD)
    L %= MOD
print(L * modinv(max(P)) % MOD)