338336 has 24 divisors (see below), whose sum is σ = 679140. Its totient is φ = 165888.

The previous prime is 338323. The next prime is 338339. The reversal of 338336 is 633833.

338336 = 4² + 5² + ... + 100².

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 1936 = 580^2 + 44^2 .

It is a super-3 number, since 3×338336³ = 116189233399431168, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (3888) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (338339) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3050 + ... + 3158.

2³³⁸³³⁶ is an apocalyptic number.

It is an amenable number.

338336 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.

338336 is a wasteful number, since it uses less digits than its factorization.

338336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 338336 is about 581.6665711557. Note that the first 3 decimals coincide. The cubic root of 338336 is about 69.6812720409.

The spelling of 338336 in words is "three hundred thirty-eight thousand, three hundred thirty-six".