342240 has 96 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 84480.

The previous prime is 342239. The next prime is 342241. The reversal of 342240 is 42243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342239) and next prime (342241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11025 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2³⁴²²⁴⁰ is an apocalyptic number.

342240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

342240 is an abundant number, since it is smaller than the sum of its proper divisors (818976).

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

342240 is a wasteful number, since it uses less digits than its factorization.

342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 342240 is about 585.0128203723. The cubic root of 342240 is about 69.9482610875.

Subtracting from 342240 its sum of digits (15), we obtain a square (342225 = 585²).

Adding to 342240 its reverse (42243), we get a palindrome (384483).

The spelling of 342240 in words is "three hundred forty-two thousand, two hundred forty", and thus it is an iban number.