312802434 has 96 divisors (see below), whose sum is σ = 820759680. Its totient is φ = 84105216.

The previous prime is 312802417. The next prime is 312802481. The reversal of 312802434 is 434208213.

It is a junction number, because it is equal to n+sod(n) for n = 312802398 and 312802407.

It is an unprimeable number.

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, 461704 + ... + 462380.

It is an arithmetic number, because the mean of its divisors is an integer number (8549580).

Almost surely, 2^312802434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312802434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410379840).

312802434 is an abundant number, since it is smaller than the sum of its proper divisors (507957246).

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

312802434 is a wasteful number, since it uses less digits than its factorization.

312802434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 901 counting only the distinct ones).

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

The square root of 312802434 is about 17686.2215863084. The cubic root of 312802434 is about 678.8232488128.

It can be divided in two parts, 312802 and 434, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 312802434 in words is "three hundred twelve million, eight hundred two thousand, four hundred thirty-four".