338240 has 56 divisors (see below), whose sum is σ = 926592. Its totient is φ = 115200.

The previous prime is 338237. The next prime is 338251. The reversal of 338240 is 42833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×338240² = 228812595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2165 + ... + 2315.

2³³⁸²⁴⁰ 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 338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

338240 is an abundant number, since it is smaller than the sum of its proper divisors (588352).

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

338240 is a wasteful number, since it uses less digits than its factorization.

338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

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

The square root of 338240 is about 581.5840437976. The cubic root of 338240 is about 69.6746809255.

The spelling of 338240 in words is "three hundred thirty-eight thousand, two hundred forty".