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34657234065 = 325770160757
BaseRepresentation
bin100000010001101110…
…110110110010010001
310022110022200220110200
4200101232312302101
51031434222442230
623531000445413
72334560425506
oct402156666221
9108408626420
1034657234065
1113775117a03
126872779869
1333642013bc
14196aba34ad
15d7c925160
hex811bb6c91

34657234065 has 12 divisors (see below), whose sum is σ = 60072539124. Its totient is φ = 18483858144.

The previous prime is 34657234061. The next prime is 34657234097. The reversal of 34657234065 is 56043275643.

34657234065 is a `hidden beast` number, since 3 + 46 + 572 + 34 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14796532881 + 19860701184 = 121641^2 + 140928^2 .

It is not a de Polignac number, because 34657234065 - 22 = 34657234061 is a prime.

It is a super-2 number, since 2×346572340652 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 770160757 = 34657234065 / (3 + 4 + 6 + 5 + 7 + 2 + 3 + 4 + 0 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 34657234065.

It is not an unprimeable number, because it can be changed into a prime (34657234061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385080334 + ... + 385080423.

It is an arithmetic number, because the mean of its divisors is an integer number (5006044927).

Almost surely, 234657234065 is an apocalyptic number.

It is an amenable number.

34657234065 is a deficient number, since it is larger than the sum of its proper divisors (25415305059).

34657234065 is a wasteful number, since it uses less digits than its factorization.

34657234065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770160768 (or 770160765 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 34657234065 in words is "thirty-four billion, six hundred fifty-seven million, two hundred thirty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 45 770160757 2310482271 3850803785 6931446813 11552411355 34657234065