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34123542408 = 2333157979363
BaseRepresentation
bin11111110001111010…
…111110111110001000
310021002010110120011000
4133301322332332020
51024341111324113
623402013535000
72315420216244
oct376172767610
9107063416130
1034123542408
111352093951a
126743aa4460
1332aa780c17
141919d5b424
15d4ab54373
hex7f1ebef88

34123542408 has 32 divisors (see below), whose sum is σ = 94787618400. Its totient is φ = 11374514064.

The previous prime is 34123542407. The next prime is 34123542437. The reversal of 34123542408 is 80424532143.

34123542408 is a `hidden beast` number, since 341 + 23 + 54 + 240 + 8 = 666.

It is a super-2 number, since 2×341235424082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34123542407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78989466 + ... + 78989897.

It is an arithmetic number, because the mean of its divisors is an integer number (2962113075).

Almost surely, 234123542408 is an apocalyptic number.

It is an amenable number.

34123542408 is an abundant number, since it is smaller than the sum of its proper divisors (60664075992).

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

34123542408 is a wasteful number, since it uses less digits than its factorization.

34123542408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157979378 (or 157979368 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34123542408 in words is "thirty-four billion, one hundred twenty-three million, five hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 157979363 315958726 473938089 631917452 947876178 1263834904 1421814267 1895752356 2843628534 3791504712 4265442801 5687257068 8530885602 11374514136 17061771204 34123542408