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234093870648 = 2332112231279199
BaseRepresentation
bin1101101000000100010…
…1001111111000111000
3211101020101220202122100
43122001011033320320
512313411012330043
6255312524023400
722625031032541
oct3320105177070
9741211822570
10234093870648
1190307983900
1239451691b60
13190c88b1631
14b48a1174c8
1561516b6cd3
hex368114fe38

234093870648 has 288 divisors, whose sum is σ = 732985344000. Its totient is φ = 67311699840.

The previous prime is 234093870643. The next prime is 234093870707. The reversal of 234093870648 is 846078390432.

234093870648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2340938706484 (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234093870594 and 234093870603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234093870643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25443153 + ... + 25452351.

It is an arithmetic number, because the mean of its divisors is an integer number (2545088000).

Almost surely, 2234093870648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234093870648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366492672000).

234093870648 is an abundant number, since it is smaller than the sum of its proper divisors (498891473352).

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

234093870648 is a wasteful number, since it uses less digits than its factorization.

234093870648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 234093870648 in words is "two hundred thirty-four billion, ninety-three million, eight hundred seventy thousand, six hundred forty-eight".