305312013342 has 128 divisors (see below), whose sum is σ = 788673300480. Its totient is φ = 85745640960.

The previous prime is 305312013337. The next prime is 305312013367. The reversal of 305312013342 is 243310213503.

305312013342 is a `hidden beast` number, since 3 + 0 + 5 + 312 + 0 + 1 + 3 + 342 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9027528 + ... + 9061284.

It is an arithmetic number, because the mean of its divisors is an integer number (6161510160).

Almost surely, 2^305312013342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305312013342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394336650240).

305312013342 is an abundant number, since it is smaller than the sum of its proper divisors (483361287138).

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

305312013342 is a wasteful number, since it uses less digits than its factorization.

305312013342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34183 (or 34177 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 305312013342 its reverse (243310213503), we get a palindrome (548622226845).

The spelling of 305312013342 in words is "three hundred five billion, three hundred twelve million, thirteen thousand, three hundred forty-two".