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3104440668 = 22367221727
BaseRepresentation
bin1011100100001010…
…0000000101011100
322000100112221000000
42321002200011130
522324214100133
61232014534300
7136634211300
oct27102400534
98010487000
103104440668
11135341524a
12727807390
133a6221354
14216431d00
15132824413
hexb90a015c

3104440668 has 126 divisors (see below), whose sum is σ = 9475732896. Its totient is φ = 886942224.

The previous prime is 3104440667. The next prime is 3104440681. The reversal of 3104440668 is 8660444013.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×31044406682 = 19275103722264572448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104440667) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 132021 + ... + 153747.

Almost surely, 23104440668 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 3104440668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737866448).

3104440668 is an abundant number, since it is smaller than the sum of its proper divisors (6371292228).

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

3104440668 is a wasteful number, since it uses less digits than its factorization.

3104440668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21763 (or 21739 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3104440668 is about 55717.5077332072. The cubic root of 3104440668 is about 1458.7956334149.

The spelling of 3104440668 in words is "three billion, one hundred four million, four hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2268 2646 2916 3402 3969 5103 5292 6804 7938 10206 11907 15876 20412 21727 23814 35721 43454 47628 65181 71442 86908 130362 142884 152089 195543 260724 304178 391086 456267 586629 608356 782172 912534 1064623 1173258 1368801 1759887 1825068 2129246 2346516 2737602 3193869 3519774 4106403 4258492 5279661 5475204 6387738 7039548 8212806 9581607 10559322 12319209 12775476 15838983 16425612 19163214 21118644 24638418 28744821 31677966 36957627 38326428 49276836 57489642 63355932 73915254 86234463 110872881 114979284 147830508 172468926 221745762 258703389 344937852 443491524 517406778 776110167 1034813556 1552220334 3104440668