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3422861316 = 22327101181743
BaseRepresentation
bin1100110000000100…
…1011100000000100
322211112201101000100
43030001023200010
524002223030231
61323351444100
7150551561340
oct31401134004
98745641010
103422861316
1114a7130406
127b6386630
1342719b734
1424683c620
151507711e6
hexcc04b804

3422861316 has 144 divisors (see below), whose sum is σ = 10054856448. Its totient is φ = 961632000.

The previous prime is 3422861297. The next prime is 3422861363. The reversal of 3422861316 is 6131682243.

3422861316 is a `hidden beast` number, since 3 + 4 + 2 + 28 + 613 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4606441 + ... + 4607183.

It is an arithmetic number, because the mean of its divisors is an integer number (69825392).

Almost surely, 23422861316 is an apocalyptic number.

3422861316 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 3422861316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027428224).

3422861316 is an abundant number, since it is smaller than the sum of its proper divisors (6631995132).

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

3422861316 is a wasteful number, since it uses less digits than its factorization.

3422861316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3422861316 is about 58505.2246897660. The cubic root of 3422861316 is about 1507.0573095151.

The spelling of 3422861316 in words is "three billion, four hundred twenty-two million, eight hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 181 202 252 303 362 404 543 606 707 724 743 909 1086 1212 1267 1414 1486 1629 1818 2121 2172 2229 2534 2828 2972 3258 3636 3801 4242 4458 5068 5201 6363 6516 6687 7602 8484 8916 10402 11403 12726 13374 15204 15603 18281 20804 22806 25452 26748 31206 36562 45612 46809 54843 62412 73124 75043 93618 109686 127967 134483 150086 164529 187236 219372 225129 255934 268966 300172 329058 383901 403449 450258 511868 525301 537932 658116 675387 767802 806898 900516 941381 1050602 1151703 1210347 1350774 1535604 1575903 1613796 1882762 2101204 2303406 2420694 2701548 2824143 3151806 3765524 4606812 4727709 4841388 5648286 6303612 8472429 9455418 11296572 13582783 16944858 18910836 27165566 33889716 40748349 54331132 81496698 95079481 122245047 162993396 190158962 244490094 285238443 380317924 488980188 570476886 855715329 1140953772 1711430658 3422861316