342384 has 40 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 97728.

The previous prime is 342379. The next prime is 342389. The reversal of 342384 is 483243.

It is an interprime number because it is at equal distance from previous prime (342379) and next prime (342389).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 342384.

It is not an unprimeable number, because it can be changed into a prime (342389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2³⁴²³⁸⁴ is an apocalyptic number.

It is an amenable number.

342384 is an abundant number, since it is smaller than the sum of its proper divisors (669456).

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

342384 is a wasteful number, since it uses less digits than its factorization.

342384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 342384 is about 585.1358816549. The cubic root of 342384 is about 69.9580701272.

It can be divided in two parts, 342 and 384, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 342384 in words is "three hundred forty-two thousand, three hundred eighty-four".