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3107307744 = 25345322619
BaseRepresentation
bin1011100100110101…
…1100000011100000
322000112221120220000
42321031130003200
522330432321434
61232200220000
7140000452152
oct27115340340
98015846800
103107307744
111354aa3332
1272876a600
133a69b6348
1421697aad2
15132bddb99
hexb935c0e0

3107307744 has 120 divisors (see below), whose sum is σ = 9311342040. Its totient is φ = 1016181504.

The previous prime is 3107307737. The next prime is 3107307761. The reversal of 3107307744 is 4477037013.

It is a super-2 number, since 2×31073077442 = 19310722831844739072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3107307699 and 3107307708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126067 + ... + 148685.

It is an arithmetic number, because the mean of its divisors is an integer number (77594517).

Almost surely, 23107307744 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 3107307744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655671020).

3107307744 is an abundant number, since it is smaller than the sum of its proper divisors (6204034296).

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

3107307744 is a wasteful number, since it uses less digits than its factorization.

3107307744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22694 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 3107307744 is about 55743.2304768929. The cubic root of 3107307744 is about 1459.2445807450.

The spelling of 3107307744 in words is "three billion, one hundred seven million, three hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1272 1296 1431 1696 1908 2544 2592 2862 3816 4293 5088 5724 7632 8586 11448 15264 17172 22619 22896 34344 45238 45792 67857 68688 90476 135714 137376 180952 203571 271428 361904 407142 542856 610713 723808 814284 1085712 1198807 1221426 1628568 1832139 2171424 2397614 2442852 3257136 3596421 3664278 4795228 4885704 6514272 7192842 7328556 9590456 9771408 10789263 14385684 14657112 19180912 19542816 21578526 28771368 29314224 32367789 38361824 43157052 57542736 58628448 64735578 86314104 97103367 115085472 129471156 172628208 194206734 258942312 345256416 388413468 517884624 776826936 1035769248 1553653872 3107307744