233841384 has 128 divisors (see below), whose sum is σ = 768096000. Its totient is φ = 64495872.

The previous prime is 233841373. The next prime is 233841397. The reversal of 233841384 is 483148332.

It is a happy number.

233841384 is a `hidden beast` number, since 233 + 8 + 41 + 384 = 666.

It is a super-3 number, since 3×233841384³ (a number of 26 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41182 + ... + 46514.

It is an arithmetic number, because the mean of its divisors is an integer number (6000750).

Almost surely, 2^233841384 is an apocalyptic number.

233841384 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 233841384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048000).

233841384 is an abundant number, since it is smaller than the sum of its proper divisors (534254616).

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

233841384 is a wasteful number, since it uses less digits than its factorization.

233841384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5374 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 233841384 is about 15291.8731357542. The cubic root of 233841384 is about 616.0847482770.

The spelling of 233841384 in words is "two hundred thirty-three million, eight hundred forty-one thousand, three hundred eighty-four".