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305008717 = 13411374177
BaseRepresentation
bin10010001011100…
…001000001001101
3210020221001022011
4102023201001031
51111040234332
650133221221
710362350146
oct2213410115
9706831264
10305008717
11147195622
1286191811
134b262840
142c718acd
151bb9ce47
hex122e104d

305008717 has 16 divisors (see below), whose sum is σ = 339019632. Its totient is φ = 272609280.

The previous prime is 305008703. The next prime is 305008751. The reversal of 305008717 is 717800503.

It can be written as a sum of positive squares in 8 ways, for example, as 9821956 + 295186761 = 3134^2 + 17181^2 .

It is a cyclic number.

It is not a de Polignac number, because 305008717 - 227 = 170790989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305008757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70933 + ... + 75109.

It is an arithmetic number, because the mean of its divisors is an integer number (21188727).

Almost surely, 2305008717 is an apocalyptic number.

It is an amenable number.

305008717 is a deficient number, since it is larger than the sum of its proper divisors (34010915).

305008717 is a wasteful number, since it uses less digits than its factorization.

305008717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 305008717 is about 17464.4987617738. The cubic root of 305008717 is about 673.1379624389.

The spelling of 305008717 in words is "three hundred five million, eight thousand, seven hundred seventeen".

Divisors: 1 13 41 137 533 1781 4177 5617 54301 73021 171257 572249 2226341 7439237 23462209 305008717