Palindromic in base 4 and 6

Number $21$ in base $10$ is special as it is the first two-digit number to have palindromic base $4$ and base $6$. We call a number palindromic if the number stays same when reversed. So, $21$ in base $4$ is $111$ which is also palindromic. Similarly, in base $6$ it is $33$. Find sum of all such numbers in base $10$ under ten million.

Note:All one digit numbers are assumed to be palindromic