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3064034688 = 273111355799
BaseRepresentation
bin1011011010100001…
…0111010110000000
321220112112002102020
42312220113112000
522233343102223
61224012521440
7135633602511
oct26650272600
97815462366
103064034688
111332627680
12716180280
1339aa44aa0
14210d14a08
1512dee21e3
hexb6a17580

3064034688 has 128 divisors (see below), whose sum is σ = 9561888000. Its totient is φ = 857057280.

The previous prime is 3064034657. The next prime is 3064034689. The reversal of 3064034688 is 8864304603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064034689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27013 + ... + 82811.

It is an arithmetic number, because the mean of its divisors is an integer number (74702250).

Almost surely, 23064034688 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 3064034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944000).

3064034688 is an abundant number, since it is smaller than the sum of its proper divisors (6497853312).

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

3064034688 is a wasteful number, since it uses less digits than its factorization.

3064034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55840 (or 55828 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3064034688 is about 55353.7233436017. The cubic root of 3064034688 is about 1452.4389690388.

The spelling of 3064034688 in words is "three billion, sixty-four million, thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 55799 111598 167397 223196 334794 446392 613789 669588 725387 892784 1227578 1339176 1450774 1785568 1841367 2176161 2455156 2678352 2901548 3571136 3682734 4352322 4910312 5356704 5803096 7142272 7365468 7979257 8704644 9820624 10713408 11606192 14730936 15958514 17409288 19641248 21426816 23212384 23937771 29461872 31917028 34818576 39282496 46424768 47875542 58923744 63834056 69637152 78564992 92849536 95751084 117847488 127668112 139274304 191502168 235694976 255336224 278548608 383004336 510672448 766008672 1021344896 1532017344 3064034688