import bisect
ls = [[] for i in range(333)]
for i in range(1, 4444):
  x = i ** 3
  ls[x%333].append(x*i)
lim = 4444 ** 4
ans = 0
a = int(input())
e3 = [i**3 for i in range(4445)]
e4 = [i**4 for i in range(4445)]
for i in range(1, 4444):
  s3 = e3[i] + e3[i]
  k = (a - s3) % 333
  s4 = e4[i] + e4[i]
  cnt = bisect.bisect_right(ls[k], lim-s4) - bisect.bisect_left(ls[k], e4[i])
  cnt = max(cnt, 0)
  ans += cnt * 3
  if (e3[i] * 3) % 333 == a and (e4[i] * 3) <= lim:
    ans -= 2
  for j in range(i+1, 4444):
    s3 = e3[i] + e3[j]
    k = (a - s3) % 333
    s4 = e4[i] + e4[j]
    cnt = bisect.bisect_right(ls[k], lim-s4) - bisect.bisect_left(ls[k], e4[j])
    cnt = max(cnt, 0)
    ans += cnt * 6
    if (e3[i] + e3[j] * 2) % 333 == a and (e4[i] + e4[j] * 2) <= lim:
      ans -= 3
print(ans)