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#include <iostream>
#include <cstdio>

using namespace std;

int n,a,b,c,k;
long long w;

int main()
{
    ios_base::sync_with_stdio(0);
    cin>>n;
    int i=1;
    while(i*i<=n)
    {
        if(n%i==0)
        {
            int j=1;
            while(j*j<=((n-i)/i))
            {
                if(((n-i)/i)%j==0)
                {
                    a=i;
                    b=a*j;
                    c=n-a-b;
                    if(a<b&&b<c&&(b%a==0)&&(c%b==0)&&(c%a==0))
                        w++;
                    b=a*((n-i)/i)/j;
                    if(c!=n-a-b){
                        c=n-a-b;
                        if(a<b&&b<c&&(b%a==0)&&(c%b==0)&&(c%a==0))
                            w++;
                    }
                }
                j+=1;
            }
            k=n/i;
            if(k!=i) {
            j=1;
            while(j*j<=((n-k)/k))
            {
                if(((n-k)/k)%j==0)
                {
                    a=k;
                    b=a*j;
                    c=n-a-b;
                    if(a<b&&b<c&&(b%a==0)&&(c%b==0)&&(c%a==0))
                        w++;
                    b=a*((n-k)/k)/j;
                    if(c!=n-a-b){
                        c=n-a-b;
                        if(a<b&&b<c&&(b%a==0)&&(c%b==0)&&(c%a==0))
                            w++;
                    }
                }
                j+=1;
            }
            }
        }
        i++;
    }
    cout<<w;
    return 0;
}