234334234000 has 80 divisors (see below), whose sum is σ = 574382455920. Its totient is φ = 92449612800.

The previous prime is 234334233967. The next prime is 234334234037. The reversal of 234334234000 is 432433432.

It can be written as a sum of positive squares in 8 ways, for example, as 96060324096 + 138273909904 = 309936^2 + 371852^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 234334234000.

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, 656515 + ... + 948514.

It is an arithmetic number, because the mean of its divisors is an integer number (7179780699).

Almost surely, 2^234334234000 is an apocalyptic number.

234334234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234334234000 is an abundant number, since it is smaller than the sum of its proper divisors (340048221920).

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

234334234000 is a wasteful number, since it uses less digits than its factorization.

234334234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605125 (or 1605109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 234334234000 its reverse (432433432), we get a palindrome (234766667432).

The spelling of 234334234000 in words is "two hundred thirty-four billion, three hundred thirty-four million, two hundred thirty-four thousand".