342000144 has 140 divisors (see below), whose sum is σ = 1006325100. Its totient is φ = 112534272.

The previous prime is 342000137. The next prime is 342000151. The reversal of 342000144 is 441000243.

It is an interprime number because it is at equal distance from previous prime (342000137) and next prime (342000151).

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 225360144 = 10800^2 + 15012^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1271242 + ... + 1271510.

Almost surely, 2^342000144 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 342000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503162550).

342000144 is an abundant number, since it is smaller than the sum of its proper divisors (664324956).

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

342000144 is a wasteful number, since it uses less digits than its factorization.

342000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

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

The square root of 342000144 is about 18493.2459022206. The cubic root of 342000144 is about 699.3191638681.

Adding to 342000144 its reverse (441000243), we get a palindrome (783000387).

Subtracting 342000144 from its reverse (441000243), we obtain a palindrome (99000099).

The spelling of 342000144 in words is "three hundred forty-two million, one hundred forty-four", and thus it is an aban number.