234538080 has 288 divisors, whose sum is σ = 884991744. Its totient is φ = 51136512.

The previous prime is 234538019. The next prime is 234538133. The reversal of 234538080 is 80835432.

234538080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234538080² = 110016221940172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2825719 + ... + 2825801.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2^234538080 is an apocalyptic number.

234538080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442495872).

234538080 is an abundant number, since it is smaller than the sum of its proper divisors (650453664).

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

234538080 is a wasteful number, since it uses less digits than its factorization.

234538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 234538080 is about 15314.6361367158. The cubic root of 234538080 is about 616.6959862693.

The spelling of 234538080 in words is "two hundred thirty-four million, five hundred thirty-eight thousand, eighty".