234005304960 has 384 divisors, whose sum is σ = 928300988160. Its totient is φ = 53208023040.

The previous prime is 234005304959. The next prime is 234005304989. The reversal of 234005304960 is 69403500432.

234005304960 is a `hidden beast` number, since 2 + 34 + 0 + 0 + 530 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7766725 + ... + 7796795.

It is an arithmetic number, because the mean of its divisors is an integer number (2417450490).

Almost surely, 2^234005304960 is an apocalyptic number.

234005304960 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 234005304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464150494080).

234005304960 is an abundant number, since it is smaller than the sum of its proper divisors (694295683200).

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

234005304960 is a wasteful number, since it uses less digits than its factorization.

234005304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30296 (or 30281 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 234005304960 in words is "two hundred thirty-four billion, five million, three hundred four thousand, nine hundred sixty".