342432 has 72 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 107520.

The previous prime is 342421. The next prime is 342449. The reversal of 342432 is 234243.

342432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 24336 = 564^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342432.

It is an unprimeable number.

342432 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 11 ways as a sum of consecutive naturals, for example, 8332 + ... + 8372.

2³⁴²⁴³² is an apocalyptic number.

342432 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 342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970).

342432 is an abundant number, since it is smaller than the sum of its proper divisors (689508).

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

342432 is a wasteful number, since it uses less digits than its factorization.

342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 342432 is about 585.1768963314. The cubic root of 342432 is about 69.9613391959.

Adding to 342432 its reverse (234243), we get a palindrome (576675).

It can be divided in two parts, 34243 and 2, that multiplied together give a palindrome (68486).

The spelling of 342432 in words is "three hundred forty-two thousand, four hundred thirty-two".