#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
using mint = modint998244353;

const int MAX = 1010101;
const int MOD = 998244353;

long long fac[MAX], finv[MAX], inv[MAX];

void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}

long long COM(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

vector<ll> divisors(ll N) {
  vector<ll> res;
  for (ll i = 1; i * i <= N; i++) {
    if (N % i == 0) {
      res.push_back(i);
      if (i * i != N) res.push_back(N / i);
    }
  }
  sort(res.begin(), res.end());
  return res;
}

ll H, W, K;
mint ans;

int main() {
  cin >> H >> W >> K;
  vector<ll> divs = divisors(K);
  COMinit();
  for (auto x: divs) {
    ll y = K / x;
    ans += mint(COM(H, x)) * mint(COM(W, y));
  }
  cout << ans.val() << endl;
  return 0;
}