312090042 has 64 divisors (see below), whose sum is σ = 703655424. Its totient is φ = 91448640.

The previous prime is 312090041. The next prime is 312090139. The reversal of 312090042 is 240090213.

It is not an unprimeable number, because it can be changed into a prime (312090041) 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, 554053 + ... + 554615.

It is an arithmetic number, because the mean of its divisors is an integer number (10994616).

Almost surely, 2^312090042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312090042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351827712).

312090042 is an abundant number, since it is smaller than the sum of its proper divisors (391565382).

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

312090042 is a wasteful number, since it uses less digits than its factorization.

312090042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 312090042 is about 17666.0703610056. The cubic root of 312090042 is about 678.3075283659.

The spelling of 312090042 in words is "three hundred twelve million, ninety thousand, forty-two".