312330040 has 96 divisors (see below), whose sum is σ = 789445440. Its totient is φ = 111077120.

The previous prime is 312330013. The next prime is 312330047. The reversal of 312330040 is 40033213.

It is a junction number, because it is equal to n+sod(n) for n = 312329996 and 312330023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226794 + ... + 228166.

It is an arithmetic number, because the mean of its divisors is an integer number (8223390).

Almost surely, 2^312330040 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 312330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394722720).

312330040 is an abundant number, since it is smaller than the sum of its proper divisors (477115400).

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

312330040 is a wasteful number, since it uses less digits than its factorization.

312330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 312330040 is about 17672.8616811200. The cubic root of 312330040 is about 678.4813571939.

Adding to 312330040 its reverse (40033213), we get a palindrome (352363253).

The spelling of 312330040 in words is "three hundred twelve million, three hundred thirty thousand, forty".