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34202005339 = 174382156989
BaseRepresentation
bin11111110110100110…
…010010111101011011
310021021121002220001111
4133312212102331123
51030021203132324
623413455401151
72320362151165
oct376646227533
9107247086044
1034202005339
111356115a917
1267662231b7
1332c0ac37a8
141926543935
15d529a2794
hex7f6992f5b

34202005339 has 16 divisors (see below), whose sum is σ = 37101857760. Its totient is φ = 31402667520.

The previous prime is 34202005303. The next prime is 34202005349. The reversal of 34202005339 is 93350020243.

It is a cyclic number.

It is not a de Polignac number, because 34202005339 - 211 = 34202003291 is a prime.

It is a super-3 number, since 3×342020053393 (a number of 33 digits) contains 333 as substring.

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 34202005339.

It is not an unprimeable number, because it can be changed into a prime (34202005349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571657 + ... + 628645.

It is an arithmetic number, because the mean of its divisors is an integer number (2318866110).

Almost surely, 234202005339 is an apocalyptic number.

34202005339 is a deficient number, since it is larger than the sum of its proper divisors (2899852421).

34202005339 is a wasteful number, since it uses less digits than its factorization.

34202005339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57870.

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 34202005339 in words is "thirty-four billion, two hundred two million, five thousand, three hundred thirty-nine".

Divisors: 1 17 43 731 821 13957 35303 56989 600151 968813 2450527 41658959 46787969 795395473 2011882667 34202005339