312234144 has 96 divisors (see below), whose sum is σ = 875266560. Its totient is φ = 97171200.

The previous prime is 312234103. The next prime is 312234217. The reversal of 312234144 is 441432213.

312234144 is digitally balanced in base 3, 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 (24).

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

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, 128299 + ... + 130709.

It is an arithmetic number, because the mean of its divisors is an integer number (9117360).

Almost surely, 2^312234144 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 312234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437633280).

312234144 is an abundant number, since it is smaller than the sum of its proper divisors (563032416).

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

312234144 is a wasteful number, since it uses less digits than its factorization.

312234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 312234144 is about 17670.1483864737. The cubic root of 312234144 is about 678.4119110953.

Adding to 312234144 its reverse (441432213), we get a palindrome (753666357).

The spelling of 312234144 in words is "three hundred twelve million, two hundred thirty-four thousand, one hundred forty-four".