234129312 has 96 divisors (see below), whose sum is σ = 689895360. Its totient is φ = 77241600.

The previous prime is 234129307. The next prime is 234129319. The reversal of 234129312 is 213921432.

It is a happy number.

234129312 is a `hidden beast` number, since 2 + 341 + 2 + 9 + 312 = 666.

234129312 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234129319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85923 + ... + 88605.

It is an arithmetic number, because the mean of its divisors is an integer number (7186410).

Almost surely, 2^234129312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344947680).

234129312 is an abundant number, since it is smaller than the sum of its proper divisors (455766048).

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

234129312 is a wasteful number, since it uses less digits than its factorization.

234129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2789 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 234129312 is about 15301.2846519500. The cubic root of 234129312 is about 616.3375054955.

The spelling of 234129312 in words is "two hundred thirty-four million, one hundred twenty-nine thousand, three hundred twelve".