234414302304 has 192 divisors, whose sum is σ = 764419493376. Its totient is φ = 61245517824.

The previous prime is 234414302267. The next prime is 234414302327. The reversal of 234414302304 is 403203414432.

It is a happy number.

It is a congruent number.

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, 809364 + ... + 1060140.

It is an arithmetic number, because the mean of its divisors is an integer number (3981351528).

Almost surely, 2^234414302304 is an apocalyptic number.

234414302304 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 234414302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382209746688).

234414302304 is an abundant number, since it is smaller than the sum of its proper divisors (530005191072).

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

234414302304 is a wasteful number, since it uses less digits than its factorization.

234414302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250917 (or 250909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 234414302304 its reverse (403203414432), we get a palindrome (637617716736).

The spelling of 234414302304 in words is "two hundred thirty-four billion, four hundred fourteen million, three hundred two thousand, three hundred four".