189344 has 24 divisors (see below), whose sum is σ = 382788. Its totient is φ = 92160.

The previous prime is 189337. The next prime is 189347. The reversal of 189344 is 443981.

189344 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 2 ways, for example, as 169744 + 19600 = 412^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (189347) by changing a digit.

189344 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 3 ways as a sum of consecutive naturals, for example, 1904 + ... + 2000.

2¹⁸⁹³⁴⁴ 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 189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191394).

189344 is an abundant number, since it is smaller than the sum of its proper divisors (193444).

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

189344 is an equidigital number, since it uses as much as digits as its factorization.

189344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 189344 is about 435.1367601111. The cubic root of 189344 is about 57.4227317525.

The spelling of 189344 in words is "one hundred eighty-nine thousand, three hundred forty-four".