338014256 has 80 divisors (see below), whose sum is σ = 744595200. Its totient is φ = 147780864.

The previous prime is 338014211. The next prime is 338014267. The reversal of 338014256 is 652410833.

338014256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338014256² = 228507274518467072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201935 + ... + 203601.

It is an arithmetic number, because the mean of its divisors is an integer number (9307440).

Almost surely, 2^338014256 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 338014256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372297600).

338014256 is an abundant number, since it is smaller than the sum of its proper divisors (406580944).

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

338014256 is a wasteful number, since it uses less digits than its factorization.

338014256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 338014256 is about 18385.1640188495. The cubic root of 338014256 is about 696.5917700161.

The spelling of 338014256 in words is "three hundred thirty-eight million, fourteen thousand, two hundred fifty-six".