Search a number
-
+
12434341332 = 223735951203
BaseRepresentation
bin10111001010010010…
…01111110111010100
31012002120101222122110
423211021033313110
5200431142410312
65413503031020
7620064105000
oct134511176724
935076358573
1012434341332
115300952756
1224b029b470
13123213b12a
1485d5a1700
154cb96943c
hex2e524fdd4

12434341332 has 96 divisors (see below), whose sum is σ = 34409088000. Its totient is φ = 3492386016.

The previous prime is 12434341319. The next prime is 12434341333. The reversal of 12434341332 is 23314343421.

It is a happy number.

It is a super-2 number, since 2×124343413322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12434341332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434341333) 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 31 ways as a sum of consecutive naturals, for example, 217243 + ... + 268445.

It is an arithmetic number, because the mean of its divisors is an integer number (358428000).

Almost surely, 212434341332 is an apocalyptic number.

12434341332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204544000).

12434341332 is an abundant number, since it is smaller than the sum of its proper divisors (21974746668).

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

12434341332 is a wasteful number, since it uses less digits than its factorization.

12434341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51290 (or 51274 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 12434341332 its reverse (23314343421), we get a palindrome (35748684753).

The spelling of 12434341332 in words is "twelve billion, four hundred thirty-four million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 343 354 413 588 686 708 826 1029 1239 1372 1652 2058 2478 2891 4116 4956 5782 8673 11564 17346 20237 34692 40474 51203 60711 80948 102406 121422 153609 204812 242844 307218 358421 614436 716842 1075263 1433684 2150526 2508947 3020977 4301052 5017894 6041954 7526841 9062931 10035788 12083908 15053682 17562629 18125862 21146839 30107364 35125258 36251724 42293678 52687887 63440517 70250516 84587356 105375774 126881034 148027873 210751548 253762068 296055746 444083619 592111492 888167238 1036195111 1776334476 2072390222 3108585333 4144780444 6217170666 12434341332