Search a number
-
+
3109366368 = 2532171733671
BaseRepresentation
bin1011100101010101…
…0010101001100000
322000200211011210100
42321111102221200
522331444210433
61232312302400
7140024115033
oct27125225140
98020734710
103109366368
111356179a79
127293a1a00
133a7257374
14216d5501a
15132e98b13
hexb9552a60

3109366368 has 144 divisors (see below), whose sum is σ = 9419076576. Its totient is φ = 969584640.

The previous prime is 3109366367. The next prime is 3109366387. The reversal of 3109366368 is 8636639013.

3109366368 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 3 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×31093663682 = 19336318420899022848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3109366363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845173 + ... + 848843.

It is an arithmetic number, because the mean of its divisors is an integer number (65410254).

Almost surely, 23109366368 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 3109366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709538288).

3109366368 is an abundant number, since it is smaller than the sum of its proper divisors (6309710208).

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

3109366368 is a wasteful number, since it uses less digits than its factorization.

3109366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3109366368 is about 55761.6926572356. The cubic root of 3109366368 is about 1459.5667645565.

It can be divided in two parts, 31093 and 66368, that added together give a triangular number (97461 = T441).

The spelling of 3109366368 in words is "three billion, one hundred nine million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 173 204 272 288 306 346 408 519 544 612 692 816 1038 1224 1384 1557 1632 2076 2448 2768 2941 3114 3671 4152 4896 5536 5882 6228 7342 8304 8823 11013 11764 12456 14684 16608 17646 22026 23528 24912 26469 29368 33039 35292 44052 47056 49824 52938 58736 62407 66078 70584 88104 94112 105876 117472 124814 132156 141168 176208 187221 211752 249628 264312 282336 352416 374442 423504 499256 528624 561663 635083 748884 847008 998512 1057248 1123326 1270166 1497768 1905249 1997024 2246652 2540332 2995536 3810498 4493304 5080664 5715747 5991072 7620996 8986608 10161328 10796411 11431494 15241992 17973216 20322656 21592822 22862988 30483984 32389233 43185644 45725976 60967968 64778466 86371288 91451952 97167699 129556932 172742576 182903904 194335398 259113864 345485152 388670796 518227728 777341592 1036455456 1554683184 3109366368