342024144 has 160 divisors (see below), whose sum is σ = 1139927040. Its totient is φ = 85747200.

The previous prime is 342024143. The next prime is 342024157. The reversal of 342024144 is 441420243.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342024143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105589 + ... + 108779.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^342024144 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 342024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

342024144 is an abundant number, since it is smaller than the sum of its proper divisors (797902896).

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

342024144 is a wasteful number, since it uses less digits than its factorization.

342024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3243 counting only the distinct ones).

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

The square root of 342024144 is about 18493.8947763850. The cubic root of 342024144 is about 699.3355218216.

Adding to 342024144 its reverse (441420243), we get a palindrome (783444387).

The spelling of 342024144 in words is "three hundred forty-two million, twenty-four thousand, one hundred forty-four".