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34420326137 = 23671071991049
BaseRepresentation
bin100000000011100111…
…000111111011111001
310021211210220201212222
4200003213013323321
51030443100414022
623451255013425
72325652642031
oct400347077371
9107753821788
1034420326137
111366341652a
12680736a275
1333270c3ab2
1419475348c1
15d66c2a242
hex8039c7ef9

34420326137 has 32 divisors (see below), whose sum is σ = 37013760000. Its totient is φ = 31937355648.

The previous prime is 34420326133. The next prime is 34420326163. The reversal of 34420326137 is 73162302443.

It is a cyclic number.

It is not a de Polignac number, because 34420326137 - 22 = 34420326133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34420326097 and 34420326106.

It is not an unprimeable number, because it can be changed into a prime (34420326133) 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 31 ways as a sum of consecutive naturals, for example, 32811989 + ... + 32813037.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680000).

Almost surely, 234420326137 is an apocalyptic number.

It is an amenable number.

34420326137 is a deficient number, since it is larger than the sum of its proper divisors (2593433863).

34420326137 is a wasteful number, since it uses less digits than its factorization.

34420326137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 34420326137 in words is "thirty-four billion, four hundred twenty million, three hundred twenty-six thousand, one hundred thirty-seven".

Divisors: 1 23 67 107 199 1049 1541 2461 4577 7169 13333 21293 24127 70283 112243 164887 208751 306659 489739 1426631 1616509 2581589 4801273 7520281 13986317 22336357 32812513 172966463 321685291 513736211 1496535919 34420326137