234013040 has 80 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 88467456.

The previous prime is 234013027. The next prime is 234013067. The reversal of 234013040 is 40310432.

234013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 163046 + ... + 164474.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^234013040 is an apocalyptic number.

234013040 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 234013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

234013040 is an abundant number, since it is smaller than the sum of its proper divisors (340503760).

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

234013040 is a wasteful number, since it uses less digits than its factorization.

234013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 234013040 is about 15297.4847605742. The cubic root of 234013040 is about 616.2354612306.

Adding to 234013040 its reverse (40310432), we get a palindrome (274323472).

The spelling of 234013040 in words is "two hundred thirty-four million, thirteen thousand, forty".