218344 has 24 divisors (see below), whose sum is σ = 477090. Its totient is φ = 93408.

The previous prime is 218287. The next prime is 218357. The reversal of 218344 is 443812.

218344 is digitally balanced in base 2, 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., 213444 + 4900 = 462^2 + 70^2 .

It is an unprimeable number.

218344 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 5 ways as a sum of consecutive naturals, for example, 114 + ... + 670.

2²¹⁸³⁴⁴ 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 218344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238545).

218344 is an abundant number, since it is smaller than the sum of its proper divisors (258746).

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

218344 is a wasteful number, since it uses less digits than its factorization.

218344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 218344 is about 467.2729395118. The cubic root of 218344 is about 60.2162566516.

The spelling of 218344 in words is "two hundred eighteen thousand, three hundred forty-four".