#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(a) (a).begin(), (a).end()


void solve(){
    int x; cin >> x;
    int MAX = 300*300*300*3;
    vector<vector<short>> L(MAX+1);
    assert(false);
    for(int a=0;a<=300;a++) for(int b=a;b<=300;b++) for(int c=b;c<=300;c++){
        int abc = a*a*a+b*b*b+c*c*c;
        if(abc+MAX < x) continue;
        if(x/2<=abc && abc<=x){
            L[abc].push_back((short)a);
        }
    }
    ll ans = 0;
    for(int a=0;a<=300;a++) for(int b=a;b<=300;b++) for(int c=b;c<=300;c++){
        int abc = a*a*a+b*b*b+c*c*c;
        if(abc+MAX<x || x/2<abc) continue;
        int y = x-abc;
        if((ll)L[y].size()>0){
            ans+=(ll)L[y].size() - (ll)(lower_bound(all(L[y]), (short)c)-L[y].begin());
        }
    }

    cout << ans << endl;
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    
    int T=1;
    //cin >> T;
    while(T--) solve();
}