#include<bits/stdc++.h>
#define REP(i,n) for(int i=0,i##_len=int(n);i<i##_len;++i)
#define rep(i,a,b) for(int i=int(a);i<int(b);++i)
#define All(x) (x).begin(),(x).end()
#define rAll(x) (x).rbegin(),(x).rend()
using namespace std;
using ll = long long;

std::pair<ll,ll> bisearch(ll l,ll r,std::function<bool(ll)> f){
    while((l+1)<r){
        ll m=(l+r)/2;
        if(f(m)) r=m;
        else l=m;
    }
    return std::make_pair(l,r);
}
ll SQRT4(ll n){if(n==1) return 1;return bisearch(0,n,[n](ll x){return x>((n/x)/x)/x;}).first;}


constexpr int mod = 333;
ll cnt[4445][mod]; // iまでにz^3がj mod 333であるような数
ll p4[4445];
ll p3[4445];

int main(){
    int a;cin>>a;
    for(ll z = 1; z <= 4444; z++)
    {
        ll z3 = z*z*z;
        REP(i, mod) cnt[z][i] = cnt[z-1][i];
        cnt[z][z3%mod]++;
        p3[z] = z3;
        p4[z] = z3*z;
    }
    int ans = 0;
    for(int x = 1; x < 4444; x++)
    {
        for(int y = 1; y < 4444; y++)
        {
            int z3 = (a + mod - (p3[x] + p3[y])%mod)%mod;
            if(cnt[4444][z3] <= 0) continue;
            ll zmax = p4[4444] - p4[x] - p4[y];
            if(zmax <= 0) break;
            zmax = SQRT4(zmax);
            int c = cnt[zmax][z3];
            if(c > 0 && cnt[4444][z3] == 0) cerr << x << " " << y << " " << zmax << " " << z3 << " " << c << endl;
            ans += c;
        }
        //cerr << x << "\n";
    }
    cout << ans << endl;
}