312034032 has 100 divisors (see below), whose sum is σ = 918154776. Its totient is φ = 102280320.

The previous prime is 312034001. The next prime is 312034033. The reversal of 312034032 is 230430213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312033996 and 312034014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312034033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77083 + ... + 81029.

Almost surely, 2^312034032 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 312034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459077388).

312034032 is an abundant number, since it is smaller than the sum of its proper divisors (606120744).

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

312034032 is a wasteful number, since it uses less digits than its factorization.

312034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312034032 is about 17664.4850476882. The cubic root of 312034032 is about 678.2669479002.

Adding to 312034032 its reverse (230430213), we get a palindrome (542464245).

The spelling of 312034032 in words is "three hundred twelve million, thirty-four thousand, thirty-two".