234114144 has 192 divisors, whose sum is σ = 705438720. Its totient is φ = 67358720.

The previous prime is 234114119. The next prime is 234114149. The reversal of 234114144 is 441411432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234114149) by changing a digit.

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, 2630452 + ... + 2630540.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^234114144 is an apocalyptic number.

234114144 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 234114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

234114144 is an abundant number, since it is smaller than the sum of its proper divisors (471324576).

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

234114144 is a wasteful number, since it uses less digits than its factorization.

234114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 234114144 is about 15300.7889992641. The cubic root of 234114144 is about 616.3241954589.

Adding to 234114144 its reverse (441411432), we get a palindrome (675525576).

The spelling of 234114144 in words is "two hundred thirty-four million, one hundred fourteen thousand, one hundred forty-four".