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34023297553 = 729277643941
BaseRepresentation
bin11111101011111100…
…100101001000010001
310020211010211121001121
4133223330211020101
51024134431010203
623344033202241
72313062154220
oct375374451021
9106733747047
1034023297553
111347a2a0033
126716400381
133292a82b3b
14190a904cb7
15d41e520bd
hex7ebf25211

34023297553 has 32 divisors (see below), whose sum is σ = 40475554560. Its totient is φ = 27982160640.

The previous prime is 34023297541. The next prime is 34023297569. The reversal of 34023297553 is 35579232043.

It is a de Polignac number, because none of the positive numbers 2k-34023297553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34023297523) 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 31 ways as a sum of consecutive naturals, for example, 36156063 + ... + 36157003.

It is an arithmetic number, because the mean of its divisors is an integer number (1264861080).

Almost surely, 234023297553 is an apocalyptic number.

It is an amenable number.

34023297553 is a deficient number, since it is larger than the sum of its proper divisors (6452257007).

34023297553 is a wasteful number, since it uses less digits than its factorization.

34023297553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897.

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 34023297553 in words is "thirty-four billion, twenty-three million, two hundred ninety-seven thousand, five hundred fifty-three".

Divisors: 1 7 29 203 277 643 941 1939 4501 6587 8033 18647 27289 56231 130529 178111 191023 260657 605063 1246777 1824599 4235441 5165219 7559053 17546827 36156533 52913371 122827789 167602451 1173217157 4860471079 34023297553