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3085730466 = 2371312314591
BaseRepresentation
bin1011011111101100…
…1000001010100010
321222001100100102120
42313323020022202
522304421333331
61230105525110
7136316163510
oct26773101242
97861310376
103085730466
1113438a5a75
127214a3796
133a23a0020
14213b614b0
15130d7a796
hexb7ec82a2

3085730466 has 64 divisors (see below), whose sum is σ = 7603470336. Its totient is φ = 812980800.

The previous prime is 3085730449. The next prime is 3085730489. The reversal of 3085730466 is 6640375803.

3085730466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669831 + ... + 674421.

It is an arithmetic number, because the mean of its divisors is an integer number (118804224).

Almost surely, 23085730466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085730466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801735168).

3085730466 is an abundant number, since it is smaller than the sum of its proper divisors (4517739870).

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

3085730466 is a wasteful number, since it uses less digits than its factorization.

3085730466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847.

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3085730466 is about 55549.3516253790. The cubic root of 3085730466 is about 1455.8590465655.

The spelling of 3085730466 in words is "three billion, eighty-five million, seven hundred thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1231 2462 3693 4591 7386 8617 9182 13773 16003 17234 25851 27546 32006 32137 48009 51702 59683 64274 96018 96411 112021 119366 179049 192822 224042 336063 358098 417781 672126 835562 1253343 2506686 5651521 11303042 16954563 33909126 39560647 73469773 79121294 118681941 146939546 220409319 237363882 440818638 514288411 1028576822 1542865233 3085730466