import sys
input = sys.stdin.readline
n = int(input())
if n==0:
    print(1)
    exit()
ans = 0
cubes = {}
for a in range(301):
	a3 = a * a * a
	for b in range(a, 301):
		b3 = b * b * b
		for c in range(b, 301):
			c3 = c * c * c
			x = a3 + b3 + c3
			y = (a << 18) | (b << 9) | c
			cubes[x] = (cubes.get(x,0) << 27) | y
for x, tw in cubes.items():
	z = n - x
	w1 = tw
	if not z in cubes:
		continue
	while w1:
		z = n - x
		w2 = cubes[z]
		while w2:
			if w2 & 0x1ff <= (w1 >> 18) & 0x1ff:
				ans += 1
			w2 >>= 27
		w1 >>= 27
					
w = cubes.get(n,0)
while w:
	ans += 1
	w >>= 27
print(ans)