312984042 has 64 divisors (see below), whose sum is σ = 762753024. Its totient is φ = 83577600.

The previous prime is 312984041. The next prime is 312984079. The reversal of 312984042 is 240489213.

312984042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312983994 and 312984012.

It is not an unprimeable number, because it can be changed into a prime (312984041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106363 + ... + 109265.

It is an arithmetic number, because the mean of its divisors is an integer number (11918016).

Almost surely, 2^312984042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312984042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381376512).

312984042 is an abundant number, since it is smaller than the sum of its proper divisors (449768982).

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

312984042 is a wasteful number, since it uses less digits than its factorization.

312984042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 312984042 is about 17691.3550074606. The cubic root of 312984042 is about 678.9545946387.

The spelling of 312984042 in words is "three hundred twelve million, nine hundred eighty-four thousand, forty-two".