312406146 has 96 divisors (see below), whose sum is σ = 762810048. Its totient is φ = 95256000.

The previous prime is 312406141. The next prime is 312406147. The reversal of 312406146 is 641604213.

312406146 is a `hidden beast` number, since 3 + 1 + 2 + 40 + 614 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312406141) 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 47 ways as a sum of consecutive naturals, for example, 1244521 + ... + 1244771.

It is an arithmetic number, because the mean of its divisors is an integer number (7945938).

Almost surely, 2^312406146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312406146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381405024).

312406146 is an abundant number, since it is smaller than the sum of its proper divisors (450403902).

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

312406146 is a wasteful number, since it uses less digits than its factorization.

312406146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312406146 is about 17675.0147383248. The cubic root of 312406146 is about 678.5364616262.

The spelling of 312406146 in words is "three hundred twelve million, four hundred six thousand, one hundred forty-six".