H, W, K = map(int, input().split())
MOD = 998244353

H_C_ = [1]*(H+1)
for i in range(H):
  H_C_[i+1] = H_C_[i] * (H-i) * pow(i+1, -1, MOD) % MOD

W_C_ = [1]*(W+1)
for i in range(W):
  W_C_[i+1] = W_C_[i] * (W-i) * pow(i+1, -1, MOD) % MOD

ans = 0
for r in range(1, H+1):
  if K%r == 0 and (c := K//r) <= W:
    ans += H_C_[H-r] * W_C_[W-c]
    ans %= MOD

print(ans)