Sum of Digits in Base K

Given an integer n (in base 10) and a base k, return the sum of the digits of n after converting n from base 10 to base k.

After converting, each digit should be interpreted as a base 10 number, and the sum should be returned in base 10.

Example 1:

Input: n = 34, k = 6
Output: 9
Explanation: 34 (base 10) expressed in base 6 is 54. 5 + 4 = 9.

Example 2:

Input: n = 10, k = 10
Output: 1
Explanation: n is already in base 10. 1 + 0 = 1.

Solution

class Solution:
    def sumBase(self, n: int, k: int) -> int:
        out = ''
        while n > 0:
            rm = n % k
            out = str(rm) + out
            n = n // k
        return sum(int(i) for i in out)