#include #include const int md = 998244353; int floor_sqrt(int x) { int a = round(sqrt(x) - 0.49); while (a * a > x) a--; return a; } long long floor_sum(long long n, long long m, long long a, long long b) { long long ans = 0; if (a < 0) { ans += n * (n - 1) / 2 * (a / m); a %= m; } if (b < 0) { ans += n * (b / m); b %= m; } while (true) { if (a >= m) { ans += n * (n - 1) / 2 * (a / m); a %= m; } if (b >= m) { ans += n * (b / m); b %= m; } long long y_max = a * n + b; if (y_max < m) break; long long new_n = y_max / m; long long new_b = y_max % m; long long new_m = a; long long new_a = m; n = new_n; b = new_b; m = new_m; a = new_a; } return ans; } int main() { int n; std::cin >> n; long long ans = 0; int m = n + 1; int root = floor_sqrt(n); long long s = (long long)n * (n + 1) / 2; for (int d = 1; d <= root; d++) { long long t = s; s = floor_sum(n + 1, d + 1, 1, 0); ans += (long long)d * (t - s); ans %= md; } for (int d = 1; d <= n / root; d++) { int q = m / d; int r = m % d; ans += (long long)(root + q) * (q - root - 1) / 2 * d + (long long)r * q; ans %= md; } std::cout << ans << std::endl; return 0; }