338004 has 36 divisors (see below), whose sum is σ = 879060. Its totient is φ = 109440.

The previous prime is 337999. The next prime is 338017. The reversal of 338004 is 400833.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 176400 = 402^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338004² = 228493408032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

338004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 1590.

2³³⁸⁰⁰⁴ 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 338004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439530).

338004 is an abundant number, since it is smaller than the sum of its proper divisors (541056).

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

338004 is a wasteful number, since it uses less digits than its factorization.

338004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 338004 is about 581.3811142443. The cubic root of 338004 is about 69.6584724635.

Adding to 338004 its reverse (400833), we get a palindrome (738837).

The spelling of 338004 in words is "three hundred thirty-eight thousand, four".