342768 has 40 divisors (see below), whose sum is σ = 914128. Its totient is φ = 110592.

The previous prime is 342761. The next prime is 342791. The reversal of 342768 is 867243.

342768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁶ + 4⁹ + 7³ + 2⁷ + 6⁶ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342761) 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, 1680 + ... + 1872.

2³⁴²⁷⁶⁸ 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 342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457064).

342768 is an abundant number, since it is smaller than the sum of its proper divisors (571360).

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

342768 is a wasteful number, since it uses less digits than its factorization.

342768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 342768 is about 585.4639186150. The cubic root of 342768 is about 69.9842141274.

The spelling of 342768 in words is "three hundred forty-two thousand, seven hundred sixty-eight".