N = int(input())
P = [1] * (N + 1)
P[0] = P[1] = 0
for i in range(2, N + 1):
    if P[i]:
        cnt = 1
        j2 = i * i
        for j in range(i + i, N + 1, i):
            P[j] = 0
            if j == j2:
                cnt += 1
                j2 *= i
        P[i] = cnt

MOD = 998244353
ans = 1
maxp = 0
for i in range(2, N + 1):
    if P[i]:
        ans *= pow(i, P[i], MOD)
        ans %= MOD
        maxp = i
ans *= pow(maxp, -1, MOD)
ans %= MOD
print(ans)