342144 has 96 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 103680.

The previous prime is 342143. The next prime is 342179. The reversal of 342144 is 441243.

It is a tau number, because it is divible by the number of its divisors (96).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

Its product of digits (384) is a multiple of the sum of its prime divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342144.

It is not an unprimeable number, because it can be changed into a prime (342143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31099 + ... + 31109.

342144 is a Friedman number, since it can be written as 44*(3*2)^(4+1), using all its digits and the basic arithmetic operations.

2³⁴²¹⁴⁴ 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 342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

342144 is an abundant number, since it is smaller than the sum of its proper divisors (771696).

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

342144 is an equidigital number, since it uses as much as digits as its factorization.

342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 16 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 342144 is about 584.9307651338. The cubic root of 342144 is about 69.9417201990.

Adding to 342144 its reverse (441243), we get a palindrome (783387).

Subtracting 342144 from its reverse (441243), we obtain a palindrome (99099).

The spelling of 342144 in words is "three hundred forty-two thousand, one hundred forty-four", and thus it is an iban number.