#define _USE_MATH_DEFINES
#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <math.h>
#include <cmath>
#include <stack>
#include <map>
#include <set>
#include <numeric>
#include <iomanip>
#include <climits>
#include <functional>
#include <cassert>
#include <tuple>
using namespace std;
using ll = long long;

ll H, W, K;

// https://drken1215.hatenablog.com/entry/2018/06/08/210000
// COMinit O(n), COM O(1)

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

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

// テーブルを作る前処理
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;
    }
}

// 二項係数計算
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;
}

int main() {

    cin >> H >> W >> K;

    COMinit();
    
    ll ans = 0;
    for(int i = 0; i < H; ++i) {
        ll sum = H*W-K-i*W;
        if(sum < 0 || sum%(H-i) != 0) continue;
        int x = sum/(H-i);
        ans += (COM(H,i)*COM(W,x))%MOD;
        ans %= MOD;
    }

    cout << ans << endl;

}