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23034347336 = 237111317237269
BaseRepresentation
bin10101011100111101…
…000011111101001000
32012110022012002021102
4111130331003331020
5334133243103321
614325402000532
71443545502410
oct253475037510
965408162242
1023034347336
11985031a0a0
12456a1a6148
132231226b30
1411872ad640
158ec346c0b
hex55cf43f48

23034347336 has 384 divisors, whose sum is σ = 63500371200. Its totient is φ = 7557857280.

The previous prime is 23034347129. The next prime is 23034347339. The reversal of 23034347336 is 63374343032.

It is a super-3 number, since 3×230343473363 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23034347336.

It is not an unprimeable number, because it can be changed into a prime (23034347339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85629410 + ... + 85629678.

It is an arithmetic number, because the mean of its divisors is an integer number (165365550).

Almost surely, 223034347336 is an apocalyptic number.

23034347336 is a gapful number since it is divisible by the number (26) 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 23034347336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750185600).

23034347336 is an abundant number, since it is smaller than the sum of its proper divisors (40466023864).

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

23034347336 is a wasteful number, since it uses less digits than its factorization.

23034347336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 38.

The spelling of 23034347336 in words is "twenty-three billion, thirty-four million, three hundred forty-seven thousand, three hundred thirty-six".