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3361731066 = 2331910132441
BaseRepresentation
bin1100100001011111…
…1111000111111010
322200021200122002000
43020113333013322
523341100343231
61313325321430
7146210146131
oct31027770772
98607618060
103361731066
111475678341
12799a06276
134176171a5
1423c688918
1514a1e86e6
hexc85ff1fa

3361731066 has 64 divisors (see below), whose sum is σ = 7941801600. Its totient is φ = 1051056000.

The previous prime is 3361731041. The next prime is 3361731073. The reversal of 3361731066 is 6601371633.

3361731066 is a `hidden beast` number, since 3 + 3 + 617 + 31 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×33617310662 = 22602471520218992712, 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 3361731066.

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, 87406 + ... + 119846.

It is an arithmetic number, because the mean of its divisors is an integer number (124090650).

Almost surely, 23361731066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361731066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970900800).

3361731066 is an abundant number, since it is smaller than the sum of its proper divisors (4580070534).

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

3361731066 is a wasteful number, since it uses less digits than its factorization.

3361731066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32572 (or 32566 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3361731066 is about 57980.4369248801. The cubic root of 3361731066 is about 1498.0316501958.

The spelling of 3361731066 in words is "three billion, three hundred sixty-one million, seven hundred thirty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 909 1026 1818 1919 2727 3838 5454 5757 11514 17271 32441 34542 51813 64882 97323 103626 194646 291969 583938 616379 875907 1232758 1751814 1849137 3276541 3698274 5547411 6553082 9829623 11094822 16642233 19659246 29488869 33284466 58977738 62254279 88466607 124508558 176933214 186762837 373525674 560288511 1120577022 1680865533 3361731066