234381312 has 252 divisors, whose sum is σ = 784614636. Its totient is φ = 66846720.

The previous prime is 234381311. The next prime is 234381331. The reversal of 234381312 is 213183432.

234381312 is a `hidden beast` number, since 2 + 343 + 8 + 1 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234381311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13787128 + ... + 13787144.

Almost surely, 2^234381312 is an apocalyptic number.

234381312 is a gapful number since it is divisible by the number (22) 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 234381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392307318).

234381312 is an abundant number, since it is smaller than the sum of its proper divisors (550233324).

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

234381312 is a wasteful number, since it uses less digits than its factorization.

234381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 234381312 is about 15309.5170400637. The cubic root of 234381312 is about 616.5585533705.

The spelling of 234381312 in words is "two hundred thirty-four million, three hundred eighty-one thousand, three hundred twelve".