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34005683881 = 1329531701901
BaseRepresentation
bin11111101010111001…
…011000111010101001
310020202220200201122101
4133222321120322221
51024120423341011
623342203453401
72312456354341
oct375271307251
9106686621571
1034005683881
111347035a684
126710527261
13328c226950
14190843bd21
15d406232c1
hex7eae58ea9

34005683881 has 16 divisors (see below), whose sum is σ = 38599137360. Its totient is φ = 29735596800.

The previous prime is 34005683879. The next prime is 34005683893. The reversal of 34005683881 is 18838650043.

It can be written as a sum of positive squares in 8 ways, for example, as 45091225 + 33960592656 = 6715^2 + 184284^2 .

It is not a de Polignac number, because 34005683881 - 21 = 34005683879 is a prime.

It is a super-2 number, since 2×340056838812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34005683821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830970 + ... + 870931.

It is an arithmetic number, because the mean of its divisors is an integer number (2412446085).

Almost surely, 234005683881 is an apocalyptic number.

It is an amenable number.

34005683881 is a deficient number, since it is larger than the sum of its proper divisors (4593453479).

34005683881 is a wasteful number, since it uses less digits than its factorization.

34005683881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701996.

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 34005683881 in words is "thirty-four billion, five million, six hundred eighty-three thousand, eight hundred eighty-one".

Divisors: 1 13 29 53 377 689 1537 19981 1701901 22124713 49355129 90200753 641616677 1172609789 2615821837 34005683881