Search a number
-
+
34464360612 = 223112913765717
BaseRepresentation
bin100000000110001111…
…000110100010100100
310021221212202220211110
4200012033012202210
51031040334014422
623455510505020
72330026142313
oct400617064244
9107855686743
1034464360612
1113686262260
12681a065170
133333270ab6
14194d31827a
15d6aa2760c
hex8063c68a4

34464360612 has 96 divisors (see below), whose sum is σ = 91416366720. Its totient is φ = 10009861120.

The previous prime is 34464360607. The next prime is 34464360613. The reversal of 34464360612 is 21606346443.

It is not an unprimeable number, because it can be changed into a prime (34464360613) 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 31 ways as a sum of consecutive naturals, for example, 491578 + ... + 557294.

It is an arithmetic number, because the mean of its divisors is an integer number (952253820).

Almost surely, 234464360612 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 34464360612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45708183360).

34464360612 is an abundant number, since it is smaller than the sum of its proper divisors (56952006108).

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

34464360612 is a wasteful number, since it uses less digits than its factorization.

34464360612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65901 (or 65899 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 34464360612 in words is "thirty-four billion, four hundred sixty-four million, three hundred sixty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 137 174 274 319 348 411 548 638 822 957 1276 1507 1644 1914 3014 3828 3973 4521 6028 7946 9042 11919 15892 18084 23838 43703 47676 65717 87406 131109 131434 174812 197151 262218 262868 394302 524436 722887 788604 1445774 1905793 2168661 2891548 3811586 4337322 5717379 7623172 8674644 9003229 11434758 18006458 20963723 22869516 27009687 36012916 41927446 54019374 62891169 83854892 99035519 108038748 125782338 198071038 251564676 261093641 297106557 396142076 522187282 594213114 783280923 1044374564 1188426228 1566561846 2872030051 3133123692 5744060102 8616090153 11488120204 17232180306 34464360612