338238 has 48 divisors (see below), whose sum is σ = 823680. Its totient is φ = 99792.

The previous prime is 338237. The next prime is 338251. The reversal of 338238 is 832833.

It is a super-2 number, since 2×338238² = 228809889288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7845 + ... + 7887.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2³³⁸²³⁸ is an apocalyptic number.

338238 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

338238 is an abundant number, since it is smaller than the sum of its proper divisors (485442).

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

338238 is a wasteful number, since it uses less digits than its factorization.

338238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 338238 is about 581.5823243531. The cubic root of 338238 is about 69.6745435973.

It can be divided in two parts, 338 and 238, that added together give a square (576 = 24²).

The spelling of 338238 in words is "three hundred thirty-eight thousand, two hundred thirty-eight".