338024 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 154560.

The previous prime is 338017. The next prime is 338027. The reversal of 338024 is 420833.

338024 = T₄₁ + T₄₂ + ... + T₁₂₇.

338024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338024² = 228520449152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337987 and 338005.

It is not an unprimeable number, because it can be changed into a prime (338027) 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 in 7 ways as a sum of consecutive naturals, for example, 7169 + ... + 7215.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2³³⁸⁰²⁴ is an apocalyptic number.

It is an amenable number.

338024 is an abundant number, since it is smaller than the sum of its proper divisors (353176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338024 is a wasteful number, since it uses less digits than its factorization.

338024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 338024 is about 581.3983144110. The cubic root of 338024 is about 69.6598463545.

Adding to 338024 its reverse (420833), we get a palindrome (758857).

The spelling of 338024 in words is "three hundred thirty-eight thousand, twenty-four".