218338344 has 144 divisors (see below), whose sum is σ = 718380000. Its totient is φ = 58673664.

The previous prime is 218338321. The next prime is 218338349. The reversal of 218338344 is 443833812.

It is a happy number.

218338344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 218338299 and 218338308.

It is not an unprimeable number, because it can be changed into a prime (218338349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144907 + ... + 146405.

It is an arithmetic number, because the mean of its divisors is an integer number (4988750).

Almost surely, 2^218338344 is an apocalyptic number.

218338344 is a gapful number since it is divisible by the number (24) 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 218338344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359190000).

218338344 is an abundant number, since it is smaller than the sum of its proper divisors (500041656).

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

218338344 is a wasteful number, since it uses less digits than its factorization.

218338344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1528 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 218338344 is about 14776.2763915677. The cubic root of 218338344 is about 602.1573669824.

The spelling of 218338344 in words is "two hundred eighteen million, three hundred thirty-eight thousand, three hundred forty-four".