234003343200 has 1152 divisors, whose sum is σ = 912811576320. Its totient is φ = 51471974400.

The previous prime is 234003343199. The next prime is 234003343201. The reversal of 234003343200 is 2343300432.

It is an interprime number because it is at equal distance from previous prime (234003343199) and next prime (234003343201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234003343201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1708053532 + ... + 1708053668.

It is an arithmetic number, because the mean of its divisors is an integer number (792371160).

Almost surely, 2^234003343200 is an apocalyptic number.

234003343200 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 234003343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456405788160).

234003343200 is an abundant number, since it is smaller than the sum of its proper divisors (678808233120).

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

234003343200 is a wasteful number, since it uses less digits than its factorization.

234003343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 234003343200 its reverse (2343300432), we get a palindrome (236346643632).

The spelling of 234003343200 in words is "two hundred thirty-four billion, three million, three hundred forty-three thousand, two hundred".