312011304 has 64 divisors (see below), whose sum is σ = 855360000. Its totient is φ = 94057920.

The previous prime is 312011299. The next prime is 312011309. The reversal of 312011304 is 403110213.

It is an interprime number because it is at equal distance from previous prime (312011299) and next prime (312011309).

It is not an unprimeable number, because it can be changed into a prime (312011309) 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, 49567 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (13365000).

Almost surely, 2^312011304 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 312011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680000).

312011304 is an abundant number, since it is smaller than the sum of its proper divisors (543348696).

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

312011304 is a wasteful number, since it uses less digits than its factorization.

312011304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 312011304 is about 17663.8417112473. The cubic root of 312011304 is about 678.2504795839.

Adding to 312011304 its reverse (403110213), we get a palindrome (715121517).

The spelling of 312011304 in words is "three hundred twelve million, eleven thousand, three hundred four".