#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; /*-------------------------------------------------*/ vector > prime_factorization(long long val) { vector > res; for (long long i = 2; i * i <= val; ++i) { if (val % i != 0) continue; int exponent = 0; while (val % i == 0) { ++exponent; val /= i; } res.emplace_back(i, exponent); } if (val != 1) res.emplace_back(val, 1); return res; } int main() { cin.tie(0); ios::sync_with_stdio(false); // freopen("input.txt", "r", stdin); int n, k, m; cin >> n >> k >> m; if (n == 1) { cout << 1 << '\n'; return 0; } auto prime = prime_factorization(n); int sz = prime.size(); REP(i, sz) prime[i].second *= k; for (int i = sz - 1; i >= 0; --i) { long long tmp = 1; int expo = 0; while (tmp * prime[i].first <= m) { tmp *= prime[i].first; ++expo; if (expo == prime[i].second) break; } if (expo == 0) prime.pop_back(); else prime[i].second = expo; } set ans; sz = prime.size(); function dfs = [&](int idx, int now) { if (idx == sz) return; REP(i, prime[idx].second + 1) { if (now > m) return; ans.emplace(now); dfs(idx + 1, now); now *= prime[idx].first; } }; dfs(0, 1); cout << ans.size() << '\n'; return 0; }