mod = 998244353 N = 10**7 + 5 fact = [1]*(N+1) factinv = [1]*(N+1) for i in range(2, N+1): fact[i] = fact[i-1] * i % mod factinv[-1] = pow(fact[-1], mod-2, mod) for i in range(N-1, 1, -1): factinv[i] = factinv[i+1] * (i+1) % mod def cmb(a, b): if (a < b) or (b < 0): return 0 return fact[a] * factinv[b] % mod * factinv[a-b] % mod n = int(input()) h20, h21 = 0, 2 h30, h31, h32 = 0, 0, 6 # h30^3 + 3h20^2 + h10 の累積和 ans = 0 for i in range(1, n+1): ans += (h30 + 3 * h20 + fact[i-1]) % mod * factinv[i] % mod ans %= mod h20, h21 = h21, (h21 * (2*i+1) % mod - h20 * i % mod * i) % mod h30, h31, h32 = h31, h32, (h32 * (3+3*i) % mod - h31 * (3*i*i%mod+3*i+1) % mod + h30 * i % mod * i % mod * i % mod) % mod print(ans * fact[n] % mod)