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3000340368 = 243279972719
BaseRepresentation
bin1011001011010101…
…1000111110010000
321202002200002020100
42302311120332100
522121041342433
61213415412400
7134231321004
oct26265307620
97662602210
103000340368
1112aa683143
126b8984100
1338a7a343c
14206694704
1512860eb13
hexb2d58f90

3000340368 has 120 divisors (see below), whose sum is σ = 8593894400. Its totient is φ = 976914432.

The previous prime is 3000340361. The next prime is 3000340379. The reversal of 3000340368 is 8630430003.

3000340368 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 not an unprimeable number, because it can be changed into a prime (3000340361) 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, 1102113 + ... + 1104831.

Almost surely, 23000340368 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 3000340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296947200).

3000340368 is an abundant number, since it is smaller than the sum of its proper divisors (5593554032).

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

3000340368 is a wasteful number, since it uses less digits than its factorization.

3000340368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3000340368 is about 54775.3627829155. The cubic root of 3000340368 is about 1442.3041122005.

The spelling of 3000340368 in words is "three billion, three hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 97 144 158 194 237 291 316 388 474 582 632 711 776 873 948 1164 1264 1422 1552 1746 1896 2328 2719 2844 3492 3792 4656 5438 5688 6984 7663 8157 10876 11376 13968 15326 16314 21752 22989 24471 30652 32628 43504 45978 48942 61304 65256 68967 91956 97884 122608 130512 137934 183912 195768 214801 263743 275868 367824 391536 429602 527486 551736 644403 791229 859204 1054972 1103472 1288806 1582458 1718408 1933209 2109944 2373687 2577612 3164916 3436816 3866418 4219888 4747374 5155224 6329832 7732836 9494748 10310448 12659664 15465672 18989496 20835697 30931344 37978992 41671394 62507091 83342788 125014182 166685576 187521273 250028364 333371152 375042546 500056728 750085092 1000113456 1500170184 3000340368