Search a number
-
+
12341642346 = 23211294494787
BaseRepresentation
bin10110111111001111…
…01000010001101010
31011212002222101112200
423133213220101222
5200233430023341
65400352121030
7614560141365
oct133747502152
934762871480
1012341642346
115263598620
122485236176
131218b82867
148511510dc
154c3757db6
hex2df9e846a

12341642346 has 96 divisors (see below), whose sum is σ = 30250584000. Its totient is φ = 3602135040.

The previous prime is 12341642273. The next prime is 12341642351. The reversal of 12341642346 is 64324614321.

12341642346 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 642 + 3 + 4 + 6 = 666.

It is a super-2 number, since 2×123416423462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12341642346.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2575765 + ... + 2580551.

It is an arithmetic number, because the mean of its divisors is an integer number (315110250).

Almost surely, 212341642346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341642346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292000).

12341642346 is an abundant number, since it is smaller than the sum of its proper divisors (17908941654).

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

12341642346 is a wasteful number, since it uses less digits than its factorization.

12341642346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5281 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12341642346 in words is "twelve billion, three hundred forty-one million, six hundred forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 449 522 638 898 957 1347 1914 2694 2871 4041 4787 4939 5742 8082 9574 9878 13021 14361 14817 26042 28722 29634 39063 43083 44451 52657 78126 86166 88902 105314 117189 138823 143231 157971 234378 277646 286462 315942 416469 429693 473913 832938 859386 947826 1249407 1289079 1527053 2149363 2498814 2578158 3054106 4298726 4581159 6448089 9162318 12896178 13743477 19344267 23642993 27486954 38688534 47285986 62331527 70928979 124663054 141857958 186994581 212786937 373989162 425573874 560983743 685646797 1121967486 1371293594 2056940391 4113880782 6170821173 12341642346