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34743065841 = 32111572235287
BaseRepresentation
bin100000010110110110…
…010001110011110001
310022200022012121112100
4200112312101303301
51032123211101331
623543304251013
72336652121101
oct402666216361
9108608177470
1034743065841
1113809611660
126897470a69
133378c24033
141978347201
15d8522bae6
hex816d91cf1

34743065841 has 24 divisors (see below), whose sum is σ = 55095378624. Its totient is φ = 20922276960.

The previous prime is 34743065831. The next prime is 34743065867. The reversal of 34743065841 is 14856034743.

34743065841 is a `hidden beast` number, since 34 + 7 + 4 + 30 + 6 + 584 + 1 = 666.

It is not a de Polignac number, because 34743065841 - 27 = 34743065713 is a prime.

It is a super-2 number, since 2×347430658412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34743065821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102101 + ... + 1133186.

It is an arithmetic number, because the mean of its divisors is an integer number (2295640776).

Almost surely, 234743065841 is an apocalyptic number.

It is an amenable number.

34743065841 is a deficient number, since it is larger than the sum of its proper divisors (20352312783).

34743065841 is a wasteful number, since it uses less digits than its factorization.

34743065841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235461 (or 2235458 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34743065841 in words is "thirty-four billion, seven hundred forty-three million, sixty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 15543 2235287 6705861 20117583 24588157 73764471 221293413 350940059 1052820177 3158460531 3860340649 11581021947 34743065841