342144024 has 64 divisors (see below), whose sum is σ = 891264000. Its totient is φ = 109330560.

The previous prime is 342144007. The next prime is 342144037. The reversal of 342144024 is 420441243.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 342143985 and 342144003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78987 + ... + 83205.

It is an arithmetic number, because the mean of its divisors is an integer number (13926000).

Almost surely, 2^342144024 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 342144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445632000).

342144024 is an abundant number, since it is smaller than the sum of its proper divisors (549119976).

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

342144024 is a wasteful number, since it uses less digits than its factorization.

342144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 342144024 is about 18497.1355620269. The cubic root of 342144024 is about 699.4172183439.

Adding to 342144024 its reverse (420441243), we get a palindrome (762585267).

The spelling of 342144024 in words is "three hundred forty-two million, one hundred forty-four thousand, twenty-four".