342984 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 110400.

The previous prime is 342971. The next prime is 342989. The reversal of 342984 is 489243.

It is a happy number.

342984 is nontrivially palindromic in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342984.

It is not an unprimeable number, because it can be changed into a prime (342989) by changing a digit.

342984 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, 514 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

342984 is a Friedman number, since it can be written as (9*8-2)^3-4*4, using all its digits and the basic arithmetic operations.

2³⁴²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

342984 is an abundant number, since it is smaller than the sum of its proper divisors (544056).

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

342984 is a wasteful number, since it uses less digits than its factorization.

342984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 342984 is about 585.6483586590. The cubic root of 342984 is about 69.9989115477.

It can be divided in two parts, 342 and 984, that added together give a triangular number (1326 = T₅₁).

The spelling of 342984 in words is "three hundred forty-two thousand, nine hundred eighty-four".