342516 has 48 divisors (see below), whose sum is σ = 895104. Its totient is φ = 101376.

The previous prime is 342497. The next prime is 342521. The reversal of 342516 is 615243.

It is a happy number.

Its product of digits (720) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 342492 and 342501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342516.

It is an unprimeable number.

342516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2³⁴²⁵¹⁶ 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 342516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

342516 is an abundant number, since it is smaller than the sum of its proper divisors (552588).

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

342516 is a wasteful number, since it uses less digits than its factorization.

342516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 342516 is about 585.2486650989. The cubic root of 342516 is about 69.9670593311.

Adding to 342516 its reverse (615243), we get a palindrome (957759).

It can be divided in two parts, 342 and 516, that added together give a palindrome (858).

The spelling of 342516 in words is "three hundred forty-two thousand, five hundred sixteen".