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34344568877 = 829110937357
BaseRepresentation
bin11111111111000110…
…001000100000101101
310021122112100212110112
4133333012020200231
51030314202201002
623435551145405
72324043006263
oct377706104055
9107575325415
1034344568877
1113624682a23
1267a5b15265
1333144ba908
14193b454433
15d60263852
hex7ff18882d

34344568877 has 8 divisors (see below), whose sum is σ = 34417925400. Its totient is φ = 34271290944.

The previous prime is 34344568873. The next prime is 34344568897. The reversal of 34344568877 is 77886544343.

It can be written as a sum of positive squares in 4 ways, for example, as 64416676 + 34280152201 = 8026^2 + 185149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34344568877 - 22 = 34344568873 is a prime.

It is a super-3 number, since 3×343445688773 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344568871) 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 7 ways as a sum of consecutive naturals, for example, 900683 + ... + 938039.

It is an arithmetic number, because the mean of its divisors is an integer number (4302240675).

Almost surely, 234344568877 is an apocalyptic number.

It is an amenable number.

34344568877 is a deficient number, since it is larger than the sum of its proper divisors (73356523).

34344568877 is a wasteful number, since it uses less digits than its factorization.

34344568877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39295.

The product of its digits is 54190080, while the sum is 59.

The spelling of 34344568877 in words is "thirty-four billion, three hundred forty-four million, five hundred sixty-eight thousand, eight hundred seventy-seven".

Divisors: 1 829 1109 37357 919361 30968953 41428913 34344568877