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3368877264 = 24337998713
BaseRepresentation
bin1100100011001100…
…1111110011010000
322200210010200211000
43020303033303100
523344413033024
61314142422000
7146324661414
oct31063176320
98623120730
103368877264
111479709395
127a0291900
13418c49acc
1423d5c8d44
1514ab5acc9
hexc8ccfcd0

3368877264 has 80 divisors (see below), whose sum is σ = 9792428800. Its totient is φ = 1108733184.

The previous prime is 3368877203. The next prime is 3368877283. The reversal of 3368877264 is 4627788633.

3368877264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33688772642 = 22698668039792251392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3368877264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15229 + ... + 83484.

It is an arithmetic number, because the mean of its divisors is an integer number (122405360).

Almost surely, 23368877264 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 3368877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896214400).

3368877264 is an abundant number, since it is smaller than the sum of its proper divisors (6423551536).

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

3368877264 is a wasteful number, since it uses less digits than its factorization.

3368877264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98809 (or 98797 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3368877264 is about 58042.0301505728. The cubic root of 3368877264 is about 1499.0923789268.

The spelling of 3368877264 in words is "three billion, three hundred sixty-eight million, eight hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 8532 11376 17064 34128 98713 197426 296139 394852 592278 789704 888417 1184556 1579408 1776834 2369112 2665251 3553668 4738224 5330502 7107336 7798327 10661004 14214672 15596654 21322008 23394981 31193308 42644016 46789962 62386616 70184943 93579924 124773232 140369886 187159848 210554829 280739772 374319696 421109658 561479544 842219316 1122959088 1684438632 3368877264