234343200000 has 1728 divisors, whose sum is σ = 1019379755520. Its totient is φ = 46448640000.

The previous prime is 234343199977. The next prime is 234343200001. The reversal of 234343200000 is 2343432.

234343200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 234343200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234343200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6333599982 + ... + 6333600018.

It is an arithmetic number, because the mean of its divisors is an integer number (589918840).

Almost surely, 2^234343200000 is an apocalyptic number.

234343200000 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 234343200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509689877760).

234343200000 is an abundant number, since it is smaller than the sum of its proper divisors (785036555520).

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

234343200000 is an equidigital number, since it uses as much as digits as its factorization.

234343200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 234343200000 its reverse (2343432), we get a palindrome (234345543432).

234343200000 divided by its reverse (2343432) gives a 5-th power (100000 = 10⁵).

The spelling of 234343200000 in words is "two hundred thirty-four billion, three hundred forty-three million, two hundred thousand".