233744384 has 48 divisors (see below), whose sum is σ = 492055200. Its totient is φ = 110702592.

The previous prime is 233744383. The next prime is 233744393. The reversal of 233744384 is 483447332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (193536) is a multiple of the sum of its prime factors (6048).

It is not an unprimeable number, because it can be changed into a prime (233744383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35909 + ... + 41915.

It is an arithmetic number, because the mean of its divisors is an integer number (10251150).

Almost surely, 2^233744384 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 233744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246027600).

233744384 is an abundant number, since it is smaller than the sum of its proper divisors (258310816).

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

233744384 is an equidigital number, since it uses as much as digits as its factorization.

233744384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6028 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 233744384 is about 15288.7011874783. The cubic root of 233744384 is about 615.9995502330. Note that the first 3 decimals are identical.

The spelling of 233744384 in words is "two hundred thirty-three million, seven hundred forty-four thousand, three hundred eighty-four".