338096 has 40 divisors (see below), whose sum is σ = 763344. Its totient is φ = 143360.

The previous prime is 338033. The next prime is 338119. The reversal of 338096 is 690833.

338096 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 2×338096² = 228617810432, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338096.

It is an unprimeable number.

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, 2936 + ... + 3048.

2³³⁸⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672).

338096 is an abundant number, since it is smaller than the sum of its proper divisors (425248).

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

338096 is a wasteful number, since it uses less digits than its factorization.

338096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 338096 is about 581.4602307983. The cubic root of 338096 is about 69.6647919135.

The spelling of 338096 in words is "three hundred thirty-eight thousand, ninety-six".