Search a number
-
+
12343322040 = 23357127911489
BaseRepresentation
bin10110111111011100…
…00010010110111000
31011212020010201122120
423133232002112320
5200234342301130
65400452121240
7614610335430
oct133756022670
934766121576
1012343322040
1152645355a5
122485906220
13121932026a
1485146b2c0
154c398a910
hex2dfb825b8

12343322040 has 128 divisors (see below), whose sum is σ = 42356736000. Its totient is φ = 2818879488.

The previous prime is 12343322021. The next prime is 12343322041. The reversal of 12343322040 is 4022334321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12343322040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343322041) 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, 1068616 + ... + 1080104.

It is an arithmetic number, because the mean of its divisors is an integer number (330912000).

Almost surely, 212343322040 is an apocalyptic number.

12343322040 is a gapful number since it is divisible by the number (10) 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 12343322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178368000).

12343322040 is an abundant number, since it is smaller than the sum of its proper divisors (30013413960).

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

12343322040 is a wasteful number, since it uses less digits than its factorization.

12343322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12789 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12343322040 its reverse (4022334321), we get a palindrome (16365656361).

The spelling of 12343322040 in words is "twelve billion, three hundred forty-three million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1279 2558 3837 5116 6395 7674 8953 10232 11489 12790 15348 17906 19185 22978 25580 26859 30696 34467 35812 38370 44765 45956 51160 53718 57445 68934 71624 76740 80423 89530 91912 107436 114890 134295 137868 153480 160846 172335 179060 214872 229780 241269 268590 275736 321692 344670 358120 402115 459560 482538 537180 643384 689340 804230 965076 1074360 1206345 1378680 1608460 1930152 2412690 3216920 4825380 9650760 14694431 29388862 44083293 58777724 73472155 88166586 102861017 117555448 146944310 176333172 205722034 220416465 293888620 308583051 352666344 411444068 440832930 514305085 587777240 617166102 822888136 881665860 1028610170 1234332204 1542915255 1763331720 2057220340 2468664408 3085830510 4114440680 6171661020 12343322040