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9304338681 = 32112372792
BaseRepresentation
bin10001010101001010…
…01111000011111001
3220000102202101012100
420222211033003321
5123023402314211
64135132134013
7446366400561
oct105245170371
926012671170
109304338681
113a45069400
121978007309
13b53839b61
146439d7da1
15396c96156
hex22a94f0f9

9304338681 has 81 divisors (see below), whose sum is σ = 15377115663. Its totient is φ = 5417137440.

The previous prime is 9304338679. The next prime is 9304338683. The reversal of 9304338681 is 1868334039.

The square root of 9304338681 is 96459.

It is a perfect power (a square), and thus also a powerful number.

9304338681 is a `hidden beast` number, since 9 + 304 + 338 + 6 + 8 + 1 = 666.

9304338681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9304338679) and next prime (9304338683).

It can be written as a sum of positive squares in only one way, i.e., 8325650025 + 978688656 = 91245^2 + 31284^2 .

It is not a de Polignac number, because 9304338681 - 21 = 9304338679 is a prime.

It is a super-2 number, since 2×93043386812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9304338683) 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 80 ways as a sum of consecutive naturals, for example, 117776400 + ... + 117776478.

Almost surely, 29304338681 is an apocalyptic number.

9304338681 is the 96459-th square number.

9304338681 is the 48230-th centered octagonal number.

It is an amenable number.

9304338681 is a deficient number, since it is larger than the sum of its proper divisors (6072776982).

9304338681 is a wasteful number, since it uses less digits than its factorization.

9304338681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The cubic root of 9304338681 is about 2103.2706917790.

The spelling of 9304338681 in words is "nine billion, three hundred four million, three hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 37 79 99 111 121 237 333 363 407 711 869 1089 1221 1369 2607 2923 3663 4107 4477 6241 7821 8769 9559 12321 13431 15059 18723 26307 28677 32153 40293 45177 56169 68651 86031 96459 108151 135531 165649 205953 230917 289377 324453 353683 496947 617859 692751 755161 973359 1061049 1189661 1490841 2078253 2265483 2540087 3183147 3568983 6796449 7620261 8543929 10706949 13086271 22860783 25631787 27940957 39258813 76895361 83822871 93983219 117776439 251468613 281949657 845848971 1033815409 3101446227 9304338681