338056000 has 56 divisors (see below), whose sum is σ = 837215496. Its totient is φ = 135219200.

The previous prime is 338055973. The next prime is 338056003. The reversal of 338056000 is 650833.

338056000 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 4 ways, for example, as 13191424 + 324864576 = 3632^2 + 18024^2 .

It is a super-2 number, since 2×338056000² = 228563718272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338056003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13129 + ... + 29128.

Almost surely, 2^338056000 is an apocalyptic number.

It is an amenable number.

338056000 is an abundant number, since it is smaller than the sum of its proper divisors (499159496).

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

338056000 is an equidigital number, since it uses as much as digits as its factorization.

338056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42284 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 338056000 is about 18386.2992469937. The cubic root of 338056000 is about 696.6204446744.

The spelling of 338056000 in words is "three hundred thirty-eight million, fifty-six thousand".