342912 has 64 divisors (see below), whose sum is σ = 979200. Its totient is φ = 105984.

The previous prime is 342899. The next prime is 342929. The reversal of 342912 is 219243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342912.

It is an unprimeable number.

342912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7273 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2³⁴²⁹¹² is an apocalyptic number.

342912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

342912 is an abundant number, since it is smaller than the sum of its proper divisors (636288).

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

342912 is a wasteful number, since it uses less digits than its factorization.

342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

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

The square root of 342912 is about 585.5868850990. The cubic root of 342912 is about 69.9940130934.

The spelling of 342912 in words is "three hundred forty-two thousand, nine hundred twelve".