mod = 998244353
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    N = int(input())

    D = list(range(N+1))
    for d in range(2, N+1):
        if D[d] != d:
            continue
        for i in range(2, N+1):
            if d*i > N:
                break
            if D[d*i] == d*i:
                D[d*i] = d

    for i in range(N, -1, -1):
        if D[i] == i:
            p_max = i
            break

    cnt = [0] * (N+1)
    for i in range(1, N+1):
        if i == p_max:
            continue
        ii = i
        cnt_tmp = {}
        while ii > 1:
            d = D[ii]
            if d in cnt_tmp:
                cnt_tmp[d] += 1
            else:
                cnt_tmp[d] = 1
            ii //= d
        for d in cnt_tmp:
            cnt[d] = max(cnt[d], cnt_tmp[d])
    ans = 1
    for i in range(1, N+1):
        ans = (ans * pow(i, cnt[i], mod))%mod
    print(ans)


if __name__ == '__main__':
    main()