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34706006335 = 5711136934267
BaseRepresentation
bin100000010100101000…
…111010000100111111
310022120201110210110001
4200110220322010333
51032034214200320
623535502055131
72336022120640
oct402450720477
9108521423401
1034706006335
111379a6aa270
126886b7a4a7
133371349a30
14197345b6c7
15d81d5b20a
hex814a3a13f

34706006335 has 32 divisors (see below), whose sum is σ = 55917937152. Its totient is φ = 19970686080.

The previous prime is 34706006329. The next prime is 34706006369. The reversal of 34706006335 is 53360060743.

It is not a de Polignac number, because 34706006335 - 27 = 34706006207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34706006294 and 34706006303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462129 + ... + 3472138.

It is an arithmetic number, because the mean of its divisors is an integer number (1747435536).

Almost surely, 234706006335 is an apocalyptic number.

34706006335 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34706006335 is a deficient number, since it is larger than the sum of its proper divisors (21211930817).

34706006335 is a wasteful number, since it uses less digits than its factorization.

34706006335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934303.

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 34706006335 in words is "thirty-four billion, seven hundred six million, six thousand, three hundred thirty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 5005 6934267 34671335 48539869 76276937 90145471 242699345 381384685 450727355 533938559 631018297 991600181 2669692795 3155091485 4958000905 6941201267 34706006335