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3362616434328 = 2332383433169501
BaseRepresentation
bin110000111011101011100…
…011101101111010011000
3102220110111112001202002120
4300323223203231322120
5420043114301344303
611052433100101240
7464640525043524
oct60735343557230
912813445052076
103362616434328
11108709434a958
12463845534820
131b512a194088
14b8a741aad84
155c7091d0553
hex30eeb8ede98

3362616434328 has 128 divisors (see below), whose sum is σ = 8898285473280. Its totient is φ = 1056768768000.

The previous prime is 3362616434297. The next prime is 3362616434341. The reversal of 3362616434328 is 8234346162633.

It is a super-2 number, since 2×33626164343282 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19753578 + ... + 19923078.

It is an arithmetic number, because the mean of its divisors is an integer number (69517855260).

Almost surely, 23362616434328 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 3362616434328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449142736640).

3362616434328 is an abundant number, since it is smaller than the sum of its proper divisors (5535669038952).

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

3362616434328 is a wasteful number, since it uses less digits than its factorization.

3362616434328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170049 (or 170045 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 51.

The spelling of 3362616434328 in words is "three trillion, three hundred sixty-two billion, six hundred sixteen million, four hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 433 498 552 664 866 996 1299 1732 1909 1992 2598 3464 3818 5196 5727 7636 9959 10392 11454 15272 19918 22908 29877 35939 39836 45816 59754 71878 79672 107817 119508 143756 169501 215634 239016 287512 339002 431268 508503 678004 826597 862536 1017006 1356008 1653194 2034012 2479791 3306388 3898523 4068024 4959582 6612776 7797046 9919164 11695569 14068583 15594092 19838328 23391138 28137166 31188184 42205749 46782276 56274332 73393933 84411498 93564552 112548664 146787866 168822996 220181799 293575732 323577409 337645992 440363598 587151464 647154818 880727196 970732227 1294309636 1688060459 1761454392 1941464454 2588619272 3376120918 3882928908 5064181377 6091696439 6752241836 7765857816 10128362754 12183392878 13504483672 18275089317 20256725508 24366785756 36550178634 40513451016 48733571512 73100357268 140109018097 146200714536 280218036194 420327054291 560436072388 840654108582 1120872144776 1681308217164 3362616434328