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3381842664 = 2336579877
BaseRepresentation
bin1100100110010010…
…1101001011101000
322201200112102000000
43021210231023220
523411222431124
61315324343000
7146543121414
oct31144551350
98650472000
103381842664
111485a644a2
127a46a4a60
1341b839345
14241201d44
1514bd6c6c9
hexc992d2e8

3381842664 has 56 divisors (see below), whose sum is σ = 9507099810. Its totient is φ = 1127278944.

The previous prime is 3381842641. The next prime is 3381842689. The reversal of 3381842664 is 4662481833.

3381842664 is a `hidden beast` number, since 3 + 381 + 8 + 4 + 266 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2242780164 + 1139062500 = 47358^2 + 33750^2 .

It is a super-2 number, since 2×33818426642 = 22873719608101233792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 284107 + ... + 295770.

Almost surely, 23381842664 is an apocalyptic number.

It is an amenable number.

3381842664 is an abundant number, since it is smaller than the sum of its proper divisors (6125257146).

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

3381842664 is an equidigital number, since it uses as much as digits as its factorization.

3381842664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579901 (or 579882 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3381842664 is about 58153.6126478828. The cubic root of 3381842664 is about 1501.0130436743.

The spelling of 3381842664 in words is "three billion, three hundred eighty-one million, eight hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 579877 1159754 1739631 2319508 3479262 4639016 5218893 6958524 10437786 13917048 15656679 20875572 31313358 41751144 46970037 62626716 93940074 125253432 140910111 187880148 281820222 375760296 422730333 563640444 845460666 1127280888 1690921332 3381842664