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234304010304 = 263721319100829
BaseRepresentation
bin1101101000110110011…
…0110111100001000000
3211101210001022222001120
43122031212313201000
512314323311312204
6255345432032240
722633162140600
oct3321546674100
9741701288046
10234304010304
1190405561941
12394abb32680
13191302a8c20
14b4a9db8c00
156164d756d9
hex368d9b7840

234304010304 has 336 divisors, whose sum is σ = 817497374400. Its totient is φ = 58541543424.

The previous prime is 234304010279. The next prime is 234304010333. The reversal of 234304010304 is 403010403432.

234304010304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273362 + ... + 2374190.

It is an arithmetic number, because the mean of its divisors is an integer number (2433027900).

Almost surely, 2234304010304 is an apocalyptic number.

234304010304 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 234304010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408748687200).

234304010304 is an abundant number, since it is smaller than the sum of its proper divisors (583193364096).

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

234304010304 is a wasteful number, since it uses less digits than its factorization.

234304010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100890 (or 100873 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234304010304 its reverse (403010403432), we get a palindrome (637314413736).

The spelling of 234304010304 in words is "two hundred thirty-four billion, three hundred four million, ten thousand, three hundred four".