Search a number
-
+
34640221671 = 3311473736653
BaseRepresentation
bin100000010000101101…
…111101010111100111
310022102010200120212000
4200100231331113213
51031420344043141
623525152100343
72334263011626
oct402055752747
9108363616760
1034640221671
1113766558280
126868b346b3
133360825ab3
1419688156bd
15d7b1b45b6
hex810b7d5e7

34640221671 has 64 divisors (see below), whose sum is σ = 57337251840. Its totient is φ = 20489224320.

The previous prime is 34640221643. The next prime is 34640221673. The reversal of 34640221671 is 17612204643.

34640221671 is a `hidden beast` number, since 3 + 4 + 640 + 2 + 2 + 1 + 6 + 7 + 1 = 666.

It is not a de Polignac number, because 34640221671 - 211 = 34640219623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34640221673) 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 63 ways as a sum of consecutive naturals, for example, 5203381 + ... + 5210033.

It is an arithmetic number, because the mean of its divisors is an integer number (895894560).

Almost surely, 234640221671 is an apocalyptic number.

34640221671 is a deficient number, since it is larger than the sum of its proper divisors (22697030169).

34640221671 is a wasteful number, since it uses less digits than its factorization.

34640221671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7093 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34640221671 in words is "thirty-four billion, six hundred forty million, two hundred twenty-one thousand, six hundred seventy-one".

Divisors: 1 3 9 11 27 33 47 99 141 297 373 423 517 1119 1269 1551 3357 4103 4653 6653 10071 12309 13959 17531 19959 36927 52593 59877 73183 110781 157779 179631 192841 219549 312691 473337 578523 658647 938073 1735569 1975941 2481569 2814219 3439601 5206707 7444707 8442657 10318803 22334121 27297259 30956409 67002363 81891777 92869227 116633743 245675331 349901229 737025993 1049703687 1282971173 3149111061 3848913519 11546740557 34640221671