338048 has 32 divisors (see below), whose sum is σ = 714000. Its totient is φ = 158976.

The previous prime is 338033. The next prime is 338119. The reversal of 338048 is 840833.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×338048² = 228552900608, which contains 22 as substring.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 2363 + ... + 2501.

2³³⁸⁰⁴⁸ is an apocalyptic number.

338048 is a gapful number since it is divisible by the number (38) 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 338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357000).

338048 is an abundant number, since it is smaller than the sum of its proper divisors (375952).

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

338048 is a wasteful number, since it uses less digits than its factorization.

338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 338048 is about 581.4189539394. The cubic root of 338048 is about 69.6614949522.

The spelling of 338048 in words is "three hundred thirty-eight thousand, forty-eight".