234144000 has 288 divisors, whose sum is σ = 867310080. Its totient is φ = 62208000.

The previous prime is 234143969. The next prime is 234144017. The reversal of 234144000 is 441432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863865 + ... + 864135.

Almost surely, 2^234144000 is an apocalyptic number.

234144000 is a gapful number since it is divisible by the number (20) 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 234144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433655040).

234144000 is an abundant number, since it is smaller than the sum of its proper divisors (633166080).

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

234144000 is an equidigital number, since it uses as much as digits as its factorization.

234144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234144000 is about 15301.7646041233. The cubic root of 234144000 is about 616.3503937807.

Adding to 234144000 its reverse (441432), we get a palindrome (234585432).

The spelling of 234144000 in words is "two hundred thirty-four million, one hundred forty-four thousand".