338432 has 20 divisors (see below), whose sum is σ = 677226. Its totient is φ = 168960.

The previous prime is 338431. The next prime is 338449. The reversal of 338432 is 234833.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 92416 = 496^2 + 304^2 .

It is a super-2 number, since 2×338432² = 229072437248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338398 and 338407.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338432.

It is not an unprimeable number, because it can be changed into a prime (338431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182 + ... + 842.

2³³⁸⁴³² is an apocalyptic number.

338432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338613).

338432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

338432 is an frugal number, since it uses more digits than its factorization.

338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 338432 is about 581.7490868063. The cubic root of 338432 is about 69.6878619097.

The spelling of 338432 in words is "three hundred thirty-eight thousand, four hundred thirty-two".