338320 has 20 divisors (see below), whose sum is σ = 786780. Its totient is φ = 135296.

The previous prime is 338309. The next prime is 338321. The reversal of 338320 is 23833.

338320 = 5² + 6² + ... + 100².

338320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 76176 = 512^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×338320² = 228920844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338321) 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, 2035 + ... + 2194.

It is an arithmetic number, because the mean of its divisors is an integer number (39339).

2³³⁸³²⁰ is an apocalyptic number.

It is an amenable number.

338320 is an abundant number, since it is smaller than the sum of its proper divisors (448460).

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

338320 is a wasteful number, since it uses less digits than its factorization.

338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 338320 is about 581.6528174091. The cubic root of 338320 is about 69.6801736083.

It can be divided in two parts, 3383 and 20, that added together give a triangular number (3403 = T₈₂).

The spelling of 338320 in words is "three hundred thirty-eight thousand, three hundred twenty".