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3079917009 = 3213214232
BaseRepresentation
bin1011011110010011…
…1100110111010001
321221122101222212100
42313210330313101
522301424321014
61225341151013
7136215601611
oct26744746721
97848358770
103079917009
111340595264
1271b55b469
133a1115c00
1421308aa41
151305cd009
hexb793cdd1

3079917009 has 27 divisors (see below), whose sum is σ = 4820693787. Its totient is φ = 1894001616.

The previous prime is 3079916981. The next prime is 3079917059. The reversal of 3079917009 is 9007199703.

The square root of 3079917009 is 55497.

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

It can be written as a sum of positive squares in only one way, i.e., 455609025 + 2624307984 = 21345^2 + 51228^2 .

It is not a de Polignac number, because 3079917009 - 25 = 3079916977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3079917059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2163672 + ... + 2165094.

Almost surely, 23079917009 is an apocalyptic number.

3079917009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3079917009 is the 55497-th square number.

3079917009 is the 27749-th centered octagonal number.

It is an amenable number.

3079917009 is a deficient number, since it is larger than the sum of its proper divisors (1740776778).

3079917009 is an equidigital number, since it uses as much as digits as its factorization.

3079917009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The cubic root of 3079917009 is about 1454.9442016367.

The spelling of 3079917009 in words is "three billion, seventy-nine million, nine hundred seventeen thousand, nine".

Divisors: 1 3 9 13 39 117 169 507 1423 1521 4269 12807 18499 55497 166491 240487 721461 2024929 2164383 6074787 18224361 26324077 78972231 236916693 342213001 1026639003 3079917009