Search a number
-
+
304703760968 = 234143471732657
BaseRepresentation
bin1000110111100011100…
…00100110101001001000
31002010111022212211202022
410123301300212221020
514443013130322333
6351551243024012
731004562143225
oct4336160465110
91063438784668
10304703760968
11108251369562
124b07880b008
132296c4a8519
1410a67b2c94c
157dd55eac98
hex46f1c26a48

304703760968 has 128 divisors (see below), whose sum is σ = 615373355520. Its totient is φ = 141215907840.

The previous prime is 304703760967. The next prime is 304703760983. The reversal of 304703760968 is 869067307403.

It is not an unprimeable number, because it can be changed into a prime (304703760967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114678296 + ... + 114680952.

It is an arithmetic number, because the mean of its divisors is an integer number (4807604340).

Almost surely, 2304703760968 is an apocalyptic number.

It is an amenable number.

304703760968 is an abundant number, since it is smaller than the sum of its proper divisors (310669594552).

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

304703760968 is a wasteful number, since it uses less digits than its factorization.

304703760968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 304703760968 in words is "three hundred four billion, seven hundred three million, seven hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 41 43 47 82 86 94 164 172 173 188 328 344 346 376 692 1384 1763 1927 2021 2657 3526 3854 4042 5314 7052 7093 7439 7708 8084 8131 10628 14104 14186 14878 15416 16168 16262 21256 28372 29756 32524 56744 59512 65048 82861 108937 114251 124879 165722 217874 228502 249758 304999 331444 333371 349633 435748 457004 459661 499516 609998 662888 666742 699266 871496 914008 919322 999032 1219996 1333484 1398532 1838644 2439992 2666968 2797064 3677288 4684291 5120039 5369797 9368582 10240078 10739594 14334953 18737164 18846101 19765423 20480156 21479188 21604067 28669906 37474328 37692202 39530846 40960312 42958376 43208134 57339812 75384404 79061692 86416268 114679624 150768808 158123384 172832536 220161677 440323354 810382343 880646708 885766747 928974881 1620764686 1761293416 1771533494 1857949762 3241529372 3543066988 3715899524 6483058744 7086133976 7431799048 38087970121 76175940242 152351880484 304703760968