234784 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 98560.

The previous prime is 234781. The next prime is 234791. The reversal of 234784 is 487432.

234784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (234781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 8110.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²³⁴⁷⁸⁴ 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 234784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

234784 is an abundant number, since it is smaller than the sum of its proper divisors (309536).

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

234784 is a wasteful number, since it uses less digits than its factorization.

234784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 234784 is about 484.5451475353. The cubic root of 234784 is about 61.6911452207.

The spelling of 234784 in words is "two hundred thirty-four thousand, seven hundred eighty-four".