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3107308140 = 2232543593677
BaseRepresentation
bin1011100100110101…
…1100001001101100
322000112221121102200
42321031130021230
522330432330030
61232200221500
7140000453256
oct27115341154
98015847380
103107308140
111354aa3662
1272876a890
133a69b6591
1421697acd6
15132bddd60
hexb935c26c

3107308140 has 144 divisors (see below), whose sum is σ = 9675233568. Its totient is φ = 806787072.

The previous prime is 3107308129. The next prime is 3107308159. The reversal of 3107308140 is 418037013.

3107308140 is a `hidden beast` number, since 310 + 7 + 308 + 1 + 40 = 666.

3107308140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4589482 + ... + 4590158.

It is an arithmetic number, because the mean of its divisors is an integer number (67189122).

Almost surely, 23107308140 is an apocalyptic number.

3107308140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3107308140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837616784).

3107308140 is an abundant number, since it is smaller than the sum of its proper divisors (6567925428).

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

3107308140 is a wasteful number, since it uses less digits than its factorization.

3107308140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3107308140 is about 55743.2340288936. The cubic root of 3107308140 is about 1459.2446427344.

The spelling of 3107308140 in words is "three billion, one hundred seven million, three hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 593 645 677 774 860 1186 1290 1354 1548 1779 1935 2031 2372 2580 2708 2965 3385 3558 3870 4062 5337 5930 6093 6770 7116 7740 8124 8895 10155 10674 11860 12186 13540 17790 20310 21348 24372 25499 26685 29111 30465 35580 40620 50998 53370 58222 60930 76497 87333 101996 106740 116444 121860 127495 145555 152994 174666 229491 254990 261999 291110 305988 349332 382485 401461 436665 458982 509980 523998 582220 764970 802922 873330 917964 1047996 1147455 1204383 1309995 1529940 1605844 1746660 2007305 2294910 2408766 2619990 3613149 4014610 4589820 4817532 5239980 6021915 7226298 8029220 12043830 14452596 17262823 18065745 24087660 34525646 36131490 51788469 69051292 72262980 86314115 103576938 155365407 172628230 207153876 258942345 310730814 345256460 517884690 621461628 776827035 1035769380 1553654070 3107308140