338144 has 12 divisors (see below), whose sum is σ = 665784. Its totient is φ = 169056.

The previous prime is 338141. The next prime is 338153. The reversal of 338144 is 441833.

It is a super-2 number, since 2×338144² = 228682729472, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338144.

It is not an unprimeable number, because it can be changed into a prime (338141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (55482).

2³³⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

338144 is a deficient number, since it is larger than the sum of its proper divisors (327640).

338144 is a wasteful number, since it uses less digits than its factorization.

338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577 (or 10569 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 338144 is about 581.5015047272. The cubic root of 338144 is about 69.6680885628.

Adding to 338144 its reverse (441833), we get a palindrome (779977).

The spelling of 338144 in words is "three hundred thirty-eight thousand, one hundred forty-four".