312304064 has 56 divisors (see below), whose sum is σ = 660806400. Its totient is φ = 146016000.

The previous prime is 312304061. The next prime is 312304067. The reversal of 312304064 is 460403213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312304061) and next prime (312304067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312304061) 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, 94439 + ... + 97689.

Almost surely, 2^312304064 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 312304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330403200).

312304064 is an abundant number, since it is smaller than the sum of its proper divisors (348502336).

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

312304064 is a wasteful number, since it uses less digits than its factorization.

312304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 312304064 is about 17672.1267537328. The cubic root of 312304064 is about 678.4625472620.

Adding to 312304064 its reverse (460403213), we get a palindrome (772707277).

The spelling of 312304064 in words is "three hundred twelve million, three hundred four thousand, sixty-four".