234402344000 has 224 divisors, whose sum is σ = 635501123712. Its totient is φ = 84936960000.

The previous prime is 234402343969. The next prime is 234402344027. The reversal of 234402344000 is 443204432.

234402344000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25779455 + ... + 25788545.

It is an arithmetic number, because the mean of its divisors is an integer number (2837058588).

Almost surely, 2^234402344000 is an apocalyptic number.

234402344000 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 234402344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317750561856).

234402344000 is an abundant number, since it is smaller than the sum of its proper divisors (401098779712).

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

234402344000 is a wasteful number, since it uses less digits than its factorization.

234402344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 234402344000 its reverse (443204432), we get a palindrome (234845548432).

It can be divided in two parts, 23440 and 2344000, that multiplied together give a square (54943360000 = 234400²).

The spelling of 234402344000 in words is "two hundred thirty-four billion, four hundred two million, three hundred forty-four thousand".