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3241224012 = 223131734229
BaseRepresentation
bin1100000100110001…
…0010011101001100
322100212221020110210
43001030102131030
523114223132022
61253342402420
7143214643455
oct30114223514
98325836423
103241224012
11141364a634
12765590410
133c8673540
1422a67a12c
1513e842a0c
hexc131274c

3241224012 has 96 divisors (see below), whose sum is σ = 8655595200. Its totient is φ = 938413056.

The previous prime is 3241223989. The next prime is 3241224037. The reversal of 3241224012 is 2104221423.

It is a super-2 number, since 2×32412240122 = 21011066191930752288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3241224012.

It is an unprimeable number.

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, 764314 + ... + 768542.

It is an arithmetic number, because the mean of its divisors is an integer number (90162450).

Almost surely, 23241224012 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 3241224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327797600).

3241224012 is an abundant number, since it is smaller than the sum of its proper divisors (5414371188).

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

3241224012 is a wasteful number, since it uses less digits than its factorization.

3241224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3241224012 is about 56931.7487172140. The cubic root of 3241224012 is about 1479.9135589884.

Adding to 3241224012 its reverse (2104221423), we get a palindrome (5345445435).

The spelling of 3241224012 in words is "three billion, two hundred forty-one million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 578 663 867 884 1156 1326 1734 2652 3468 3757 4229 4913 7514 8458 9826 11271 12687 14739 15028 16916 19652 22542 25374 29478 45084 50748 54977 58956 63869 71893 109954 127738 143786 164931 191607 215679 219908 255476 287572 329862 383214 431358 659724 766428 862716 934609 1222181 1869218 2444362 2803827 3666543 3738436 4888724 5607654 7333086 11215308 14666172 15888353 20777077 31776706 41554154 47665059 62331231 63553412 83108308 95330118 124662462 190660236 249324924 270102001 540204002 810306003 1080408004 1620612006 3241224012