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234325327392 = 2532131919916553
BaseRepresentation
bin1101101000111011100…
…0001011111000100000
3211101211112102222121100
43122032320023320200
512314344240434032
6255351512554400
722633541263542
oct3321670137040
9741745388540
10234325327392
11904165a1772
12394b70b2a00
13191348309a0
14b4acb67692
156166b8697c
hex368ee0be20

234325327392 has 288 divisors, whose sum is σ = 759232656000. Its totient is φ = 67958009856.

The previous prime is 234325327351. The next prime is 234325327393. The reversal of 234325327392 is 293723523432.

234325327392 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 253 + 2 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (234325327393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14147788 + ... + 14164340.

It is an arithmetic number, because the mean of its divisors is an integer number (2636224500).

Almost surely, 2234325327392 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 234325327392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379616328000).

234325327392 is an abundant number, since it is smaller than the sum of its proper divisors (524907328608).

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

234325327392 is a wasteful number, since it uses less digits than its factorization.

234325327392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16789 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The spelling of 234325327392 in words is "two hundred thirty-four billion, three hundred twenty-five million, three hundred twenty-seven thousand, three hundred ninety-two".