289344 has 56 divisors (see below), whose sum is σ = 841248. Its totient is φ = 87040.

The previous prime is 289343. The next prime is 289349. The reversal of 289344 is 443982.

It is a happy number.

289344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289344.

It is not an unprimeable number, because it can be changed into a prime (289343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 2180.

2²⁸⁹³⁴⁴ is an apocalyptic number.

289344 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 289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420624).

289344 is an abundant number, since it is smaller than the sum of its proper divisors (551904).

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

289344 is a wasteful number, since it uses less digits than its factorization.

289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 289344 is about 537.9070551685. The cubic root of 289344 is about 66.1411122194.

The spelling of 289344 in words is "two hundred eighty-nine thousand, three hundred forty-four".