338296 has 24 divisors (see below), whose sum is σ = 738720. Its totient is φ = 144816.

The previous prime is 338293. The next prime is 338297. The reversal of 338296 is 692833.

It is a happy number.

It is a super-2 number, since 2×338296² = 228888367232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

338296 is a Friedman number, since it can be written as 863*392, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 392 ⋅ 863 (with its own digits).

2³³⁸²⁹⁶ is an apocalyptic number.

It is an amenable number.

338296 is an abundant number, since it is smaller than the sum of its proper divisors (400424).

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

338296 is a wasteful number, since it uses less digits than its factorization.

338296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 338296 is about 581.6321861795. The cubic root of 338296 is about 69.6785258943.

The spelling of 338296 in words is "three hundred thirty-eight thousand, two hundred ninety-six".