234840384 has 140 divisors (see below), whose sum is σ = 705345300. Its totient is φ = 77248512.

The previous prime is 234840383. The next prime is 234840401. The reversal of 234840384 is 483048432.

234840384 is a `hidden beast` number, since 234 + 8 + 40 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 116640000 = 10872^2 + 10800^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234840383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461122 + ... + 461630.

Almost surely, 2^234840384 is an apocalyptic number.

234840384 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 234840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352672650).

234840384 is an abundant number, since it is smaller than the sum of its proper divisors (470504916).

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

234840384 is an equidigital number, since it uses as much as digits as its factorization.

234840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 234840384 is about 15324.5027325522. The cubic root of 234840384 is about 616.9608325610.

The spelling of 234840384 in words is "two hundred thirty-four million, eight hundred forty thousand, three hundred eighty-four".