Search a number
-
+
34691413764 = 2237314235923
BaseRepresentation
bin100000010011110001…
…001111011100000100
310022112201000102012110
4200103301033130010
51032022000220024
623534221221020
72335454103000
oct402361173404
9108481012173
1034691413764
1113792442697
126882101770
13336b30a987
14197153d700
15d80927629
hex813c4f704

34691413764 has 96 divisors (see below), whose sum is σ = 94480691200. Its totient is φ = 9903194784.

The previous prime is 34691413741. The next prime is 34691413811. The reversal of 34691413764 is 46731419643.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5854107 + ... + 5860029.

Almost surely, 234691413764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34691413764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47240345600).

34691413764 is an abundant number, since it is smaller than the sum of its proper divisors (59789277436).

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

34691413764 is a wasteful number, since it uses less digits than its factorization.

34691413764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7358 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 34691413764 in words is "thirty-four billion, six hundred ninety-one million, four hundred thirteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1423 2058 2846 4116 4269 5692 5923 8538 9961 11846 17076 17769 19922 23692 29883 35538 39844 41461 59766 69727 71076 82922 119532 124383 139454 165844 209181 248766 278908 290227 418362 488089 497532 580454 836724 870681 976178 1160908 1464267 1741362 1952356 2031589 2928534 3482724 4063178 5857068 6094767 8126356 8428429 12189534 16856858 24379068 25285287 33713716 50570574 58999003 101141148 117998006 176997009 235996012 353994018 412993021 707988036 825986042 1238979063 1651972084 2477958126 2890951147 4955916252 5781902294 8672853441 11563804588 17345706882 34691413764