230304312 has 144 divisors (see below), whose sum is σ = 750929400. Its totient is φ = 63504000.

The previous prime is 230304311. The next prime is 230304343. The reversal of 230304312 is 213403032.

230304312 is a `hidden beast` number, since 230 + 3 + 0 + 431 + 2 = 666.

230304312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230304312² = 106080152251586688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230304311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101187 + ... + 103437.

Almost surely, 2^230304312 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 230304312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375464700).

230304312 is an abundant number, since it is smaller than the sum of its proper divisors (520625088).

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

230304312 is a wasteful number, since it uses less digits than its factorization.

230304312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

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

The square root of 230304312 is about 15175.7804412162. The cubic root of 230304312 is about 612.9626653935.

Adding to 230304312 its reverse (213403032), we get a palindrome (443707344).

The spelling of 230304312 in words is "two hundred thirty million, three hundred four thousand, three hundred twelve".