312434112 has 56 divisors (see below), whose sum is σ = 834288400. Its totient is φ = 103182336.

The previous prime is 312434071. The next prime is 312434113. The reversal of 312434112 is 211434213.

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 (312434113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13464 + ... + 28392.

Almost surely, 2^312434112 is an apocalyptic number.

312434112 is a gapful number since it is divisible by the number (32) 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 312434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417144200).

312434112 is an abundant number, since it is smaller than the sum of its proper divisors (521854288).

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

312434112 is a wasteful number, since it uses less digits than its factorization.

312434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053 (or 15043 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 312434112 is about 17675.8058373586. The cubic root of 312434112 is about 678.5567081170.

Adding to 312434112 its reverse (211434213), we get a palindrome (523868325).

The spelling of 312434112 in words is "three hundred twelve million, four hundred thirty-four thousand, one hundred twelve".