#include long long power_mod (long long a, long long b, long long mod_num) { long long ans = 1LL; if (b > 0LL) { ans = power_mod(a, b/2LL, mod_num); ans = (ans * ans) % mod_num; if (b%2LL == 1LL) { ans = (ans * (a % mod_num)) % mod_num; } } return ans; } int main () { int h = 0; int w = 0; long long k = 0LL; int res = 0; long long ans = 0LL; long long mod_num = 998244353LL; long long fact[1000001] = {}; long long invf[1000001] = {}; res = scanf("%d", &h); res = scanf("%d", &w); res = scanf("%lld", &k); fact[0] = 1LL; for (int i = 0; i < 1000000; i++) { fact[i+1] = fact[i]; fact[i+1] *= (long long)(i+1); fact[i+1] %= mod_num; } invf[1000000] = power_mod(fact[1000000], mod_num-2LL, mod_num); for (int i = 1000000; i > 0; i--) { invf[i-1] = invf[i]; invf[i-1] *= (long long)i; invf[i-1] %= mod_num; } for (int i = 0; i < h; i++) { if (k%((long long)(h-i)) == 0LL && k/((long long)(h-i)) <= w) { int j = (int)(k/((long long)(h-i))); long long tmp = fact[h]*invf[i]; tmp %= mod_num; tmp *= invf[h-i]; tmp %= mod_num; tmp *= fact[w]; tmp %= mod_num; tmp *= (invf[j]*invf[w-j])%mod_num; ans += tmp%mod_num; } } printf("%lld\n", ans%mod_num); return 0; }