289343904 has 96 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 90918912.

The previous prime is 289343903. The next prime is 289343909. The reversal of 289343904 is 409343982.

It is a happy number.

289343904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×289343904² = 167439789563922432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289343903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118504 + ... + 120920.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^289343904 is an apocalyptic number.

289343904 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 289343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

289343904 is an abundant number, since it is smaller than the sum of its proper divisors (514979616).

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

289343904 is a wasteful number, since it uses less digits than its factorization.

289343904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 289343904 is about 17010.1118162110. Note that the first 3 decimals coincide. The cubic root of 289343904 is about 661.4110490457.

The spelling of 289343904 in words is "two hundred eighty-nine million, three hundred forty-three thousand, nine hundred four".