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34343311681 = 737433083713
BaseRepresentation
bin11111111111000001…
…010101100101000001
310021122102222222220201
4133333001111211001
51030313341433211
623435504205201
72324026222060
oct377701254501
9107572888821
1034343311681
11136239a4418
1267a5609801
13331416a603
14193b2081d7
15d600b60c1
hex7ff055941

34343311681 has 16 divisors (see below), whose sum is σ = 41247758464. Its totient is φ = 27975435264.

The previous prime is 34343311663. The next prime is 34343311703. The reversal of 34343311681 is 18611334343.

It is not a de Polignac number, because 34343311681 - 27 = 34343311553 is a prime.

It is a super-2 number, since 2×343433116812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34343311681.

It is not an unprimeable number, because it can be changed into a prime (34343311601) 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 15 ways as a sum of consecutive naturals, for example, 1530720 + ... + 1552993.

It is an arithmetic number, because the mean of its divisors is an integer number (2577984904).

Almost surely, 234343311681 is an apocalyptic number.

It is an amenable number.

34343311681 is a deficient number, since it is larger than the sum of its proper divisors (6904446783).

34343311681 is a wasteful number, since it uses less digits than its factorization.

34343311681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083800.

The product of its digits is 62208, while the sum is 37.

The spelling of 34343311681 in words is "thirty-four billion, three hundred forty-three million, three hundred eleven thousand, six hundred eighty-one".

Divisors: 1 7 37 43 259 301 1591 11137 3083713 21585991 114097381 132599659 798681667 928197613 4906187383 34343311681