312084234 has 144 divisors (see below), whose sum is σ = 903782880. Its totient is φ = 76749120.

The previous prime is 312084209. The next prime is 312084257. The reversal of 312084234 is 432480213.

312084234 is a `hidden beast` number, since 31 + 208 + 423 + 4 = 666.

It is a super-2 number, since 2×312084234² = 194793138222733512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312084198 and 312084207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183492 + ... + 185184.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^312084234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312084234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451891440).

312084234 is an abundant number, since it is smaller than the sum of its proper divisors (591698646).

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

312084234 is a wasteful number, since it uses less digits than its factorization.

312084234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 312084234 is about 17665.9059773339. The cubic root of 312084234 is about 678.3033205689.

The spelling of 312084234 in words is "three hundred twelve million, eighty-four thousand, two hundred thirty-four".