234516240 has 480 divisors, whose sum is σ = 990412800. Its totient is φ = 48522240.

The previous prime is 234516239. The next prime is 234516253. The reversal of 234516240 is 42615432.

234516240 is a `hidden beast` number, since 2 + 34 + 5 + 1 + 624 + 0 = 666.

234516240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968521 + ... + 2968599.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 2^234516240 is an apocalyptic number.

234516240 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 234516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495206400).

234516240 is an abundant number, since it is smaller than the sum of its proper divisors (755896560).

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

234516240 is a wasteful number, since it uses less digits than its factorization.

234516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 234516240 is about 15313.9230767299. The cubic root of 234516240 is about 616.6768435947.

The spelling of 234516240 in words is "two hundred thirty-four million, five hundred sixteen thousand, two hundred forty".