#include #define LLI long long int #define FOR(v, a, b) for(LLI v = (a); v < (b); ++v) #define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v) #define REP(v, n) FOR(v, 0, n) #define REPE(v, n) FORE(v, 0, n) #define REV(v, a, b) for(LLI v = (a); v >= (b); --v) #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it) #define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it) #define EXIST(c,x) ((c).find(x) != (c).end()) #define fst first #define snd second #define popcount __builtin_popcount #define UNIQ(v) (v).erase(unique(ALL(v)), (v).end()) #define bit(i) (1LL<<(i)) #ifdef DEBUG #include #else #define dump(...) ((void)0) #endif #define gcd __gcd using namespace std; template constexpr T lcm(T m, T n){return m/gcd(m,n)*n;} template void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost< istream& operator>>(istream &is, vector &v){for(auto &a : v) is >> a; return is;} template istream& operator>>(istream &is, pair &p){is >> p.first >> p.second; return is;} template bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);} template bool chmax(T &a, const U &b){return (a void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);} vector> prime_factorize(LLI n){ vector> res; for(LLI i=2LL; i*i<=n; ++i){ int c = 0; while(n%i==0){ n/=i; ++c; } if(c){ res.push_back({i,c}); } } if(n!=1) res.push_back({n,1}); return res; } int rec(const vector> &ps, int i, LLI m, LLI a){ if(i >= (int)ps.size()) return 1; int ret = 0; REPE(j,ps[i].snd){ if(a > m) break; ret += rec(ps,i+1,m,a); a *= ps[i].fst; } return ret; } int main(){ cin.tie(0); ios::sync_with_stdio(false); LLI n,k,m; while(cin >> n >> k >> m){ auto primes = prime_factorize(n); for(auto &p : primes) p.snd *= k; int ans = rec(primes,0,m,1); cout << ans << endl; } return 0; }