342048 has 48 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 97536.

The previous prime is 342047. The next prime is 342049. The reversal of 342048 is 840243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342047) and next prime (342049).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342048.

It is not an unprimeable number, because it can be changed into a prime (342047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2³⁴²⁰⁴⁸ 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 342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

342048 is an abundant number, since it is smaller than the sum of its proper divisors (686112).

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

342048 is a wasteful number, since it uses less digits than its factorization.

342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342048 is about 584.8486983828. The cubic root of 342048 is about 69.9351780869.

The spelling of 342048 in words is "three hundred forty-two thousand, forty-eight".