338384 has 10 divisors (see below), whose sum is σ = 655650. Its totient is φ = 169184.

The previous prime is 338383. The next prime is 338389. The reversal of 338384 is 483833.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 115600 = 472^2 + 340^2 .

It is a super-4 number, since 4×338384⁴ (a number of 23 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338384.

It is not an unprimeable number, because it can be changed into a prime (338383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10559 + ... + 10590.

It is an arithmetic number, because the mean of its divisors is an integer number (65565).

2³³⁸³⁸⁴ is an apocalyptic number.

It is an amenable number.

338384 is a deficient number, since it is larger than the sum of its proper divisors (317266).

338384 is a wasteful number, since it uses less digits than its factorization.

338384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21157 (or 21151 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 338384 is about 581.7078304441. The cubic root of 338384 is about 69.6845671311.

It can be divided in two parts, 33 and 8384, that multiplied together give a palindrome (276672).

The spelling of 338384 in words is "three hundred thirty-eight thousand, three hundred eighty-four".