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3242278116 = 22327111736761
BaseRepresentation
bin1100000101000001…
…0011110011100100
322100221220210102200
43001100103303210
523120010344431
61253421134500
7143226623610
oct30120236344
98327823380
103242278116
1114141aa5a0
127659ba430
133c895227c
1422a872340
1513e99eee6
hexc1413ce4

3242278116 has 144 divisors (see below), whose sum is σ = 10278672768. Its totient is φ = 837158400.

The previous prime is 3242278111. The next prime is 3242278141. The reversal of 3242278116 is 6118722423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3242278111) 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 47 ways as a sum of consecutive naturals, for example, 476176 + ... + 482936.

It is an arithmetic number, because the mean of its divisors is an integer number (71379672).

Almost surely, 23242278116 is an apocalyptic number.

3242278116 is a gapful number since it is divisible by the number (36) 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 3242278116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139336384).

3242278116 is an abundant number, since it is smaller than the sum of its proper divisors (7036394652).

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

3242278116 is a wasteful number, since it uses less digits than its factorization.

3242278116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6957 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3242278116 is about 56941.0055759468. The cubic root of 3242278116 is about 1480.0739730497.

The spelling of 3242278116 in words is "three billion, two hundred forty-two million, two hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 173 198 231 252 308 346 396 462 519 692 693 924 1038 1211 1386 1557 1903 2076 2422 2772 3114 3633 3806 4844 5709 6228 6761 7266 7612 10899 11418 13321 13522 14532 17127 20283 21798 22836 26642 27044 34254 39963 40566 43596 47327 53284 60849 68508 74371 79926 81132 94654 119889 121698 141981 148742 159852 189308 223113 239778 243396 283962 297484 425943 446226 479556 520597 567924 669339 851886 892452 1041194 1169653 1338678 1561791 1703772 2082388 2339306 2677356 3123582 3508959 4678612 4685373 6247164 7017918 8187571 9370746 10526877 12866183 14035836 16375142 18741492 21053754 24562713 25732366 32750284 38598549 42107508 49125426 51464732 73688139 77197098 90063281 98250852 115795647 147376278 154394196 180126562 231591294 270189843 294752556 360253124 463182588 540379686 810569529 1080759372 1621139058 3242278116