305323312 has 120 divisors (see below), whose sum is σ = 735072000. Its totient is φ = 122145408.

The previous prime is 305323259. The next prime is 305323313. The reversal of 305323312 is 213323503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (305323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534189 + ... + 1534387.

It is an arithmetic number, because the mean of its divisors is an integer number (6125600).

Almost surely, 2^305323312 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 305323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367536000).

305323312 is an abundant number, since it is smaller than the sum of its proper divisors (429748688).

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

305323312 is a wasteful number, since it uses less digits than its factorization.

305323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 305323312 is about 17473.5031404696. The cubic root of 305323312 is about 673.3693143752.

Adding to 305323312 its reverse (213323503), we get a palindrome (518646815).

The spelling of 305323312 in words is "three hundred five million, three hundred twenty-three thousand, three hundred twelve".