Problem 34

Problem 34

https://projecteuler.net/problem=34

145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.

145是一个神奇的数字，1! + 4! + 5! = 1 + 24 + 120 = 145。

Find the sum of all numbers which are equal to the sum of the factorial of their digits.

找到所有位数阶乘之和等于本身的数字之和。

Note: as 1! = 1 and 2! = 2 are not sums they are not included.

注意：不包括1和2。

def factorial(num):
    f = 1
    for i in range(1, num+1):
        f *= i
    return f

tot = 0
nums = []
for i in range(3, 99999):
    print(i)
    digits = list(str(i))
    if i < factorial(int(max(digits))):
        continue
    multi = 0
    for digit in digits:
        multi += factorial(int(digit))
    if multi == i:
        nums.append(i)
        tot += i

print(nums)
print(tot)