Project Euler #30: Digit fifth powers

Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 1⁴ + 6⁴ + 3⁴ + 4⁴ 8208 = 8⁴ + 2⁴ + 0⁴ + 8⁴ 9474 = 9⁴ + 4⁴ + 7⁴ + 4⁴

As 1 = 1⁴ is not a sum it is not included.

The sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.

#include <iostream>
#include <math.h>
bool fifthPowerCheck(int a);

int main(void)
{
    int total = 0;
    for(int i = 2; i <= 354294; i++)
    {
        if(fifthPowerCheck(i))
        {
            total += i;
        }
    }
    std::cout << total;
}

bool fifthPowerCheck(int a)
{
    int buff = a;
    int tens, total = 0;

    while(buff)
    {
        tens = (buff % 10);
        total += pow(tens, 5);
        buff /= 10;
    }

    if(total == a)
    {
        return true;
    }
    return false;
}