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34127262 = 232131723373
BaseRepresentation
bin1000001000101…
…1110110011110
32101012211210200
42002023312132
532214033022
63215244330
7563035251
oct202136636
971184720
1034127262
111829a354
12b5196a6
1370bb760
144765098
152ee1bac
hex208bd9e

34127262 has 96 divisors (see below), whose sum is σ = 88216128. Its totient is φ = 9427968.

The previous prime is 34127237. The next prime is 34127263. The reversal of 34127262 is 26272143.

34127262 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91308 + ... + 91680.

It is an arithmetic number, because the mean of its divisors is an integer number (918918).

Almost surely, 234127262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34127262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108064).

34127262 is an abundant number, since it is smaller than the sum of its proper divisors (54088866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34127262 is a wasteful number, since it uses less digits than its factorization.

34127262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 34127262 is about 5841.8543288925. The cubic root of 34127262 is about 324.3648724382.

The spelling of 34127262 in words is "thirty-four million, one hundred twenty-seven thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 102 117 138 153 207 221 234 299 306 373 391 414 442 598 663 746 782 897 1119 1173 1326 1794 1989 2238 2346 2691 3357 3519 3978 4849 5083 5382 6341 6714 7038 8579 9698 10166 12682 14547 15249 17158 19023 25737 29094 30498 38046 43641 45747 51474 57069 77211 82433 87282 91494 111527 114138 145843 154422 164866 223054 247299 291686 334581 437529 494598 669162 741897 875058 1003743 1312587 1483794 1895959 2007486 2625174 3791918 5687877 11375754 17063631 34127262