342216 has 72 divisors (see below), whose sum is σ = 1089270. Its totient is φ = 96768.

The previous prime is 342211. The next prime is 342233. The reversal of 342216 is 612243.

It is a happy number.

342216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 44100 = 546^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×342216² = 234223581312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342211) by changing a digit.

342216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3480 + ... + 3576.

2³⁴²²¹⁶ is an apocalyptic number.

342216 is a gapful number since it is divisible by the number (36) 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 342216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544635).

342216 is an abundant number, since it is smaller than the sum of its proper divisors (747054).

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

342216 is a wasteful number, since it uses less digits than its factorization.

342216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 342216 is about 584.9923076417. The cubic root of 342216 is about 69.9466259801.

Adding to 342216 its reverse (612243), we get a palindrome (954459).

The spelling of 342216 in words is "three hundred forty-two thousand, two hundred sixteen".