Search a number
-
+
3479386561 = 72349203461
BaseRepresentation
bin1100111101100011…
…0011100111000001
322222111002011001221
43033120303213001
524111210332221
61333131155041
7152136204100
oct31730634701
98874064057
103479386561
111526028692
128112a5a81
13435accc21
14250154037
151556d9541
hexcf6339c1

3479386561 has 12 divisors (see below), whose sum is σ = 4059066900. Its totient is φ = 2973771360.

The previous prime is 3479386543. The next prime is 3479386579. The reversal of 3479386561 is 1656839743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3479386543) and next prime (3479386579).

It can be written as a sum of positive squares in 2 ways, for example, as 3093028225 + 386358336 = 55615^2 + 19656^2 .

It is not a de Polignac number, because 3479386561 - 25 = 3479386529 is a prime.

It is a super-2 number, since 2×34793865612 = 24212261681734813442, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3479386499 and 3479386508.

It is not an unprimeable number, because it can be changed into a prime (3479386531) 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 11 ways as a sum of consecutive naturals, for example, 84630 + ... + 118831.

It is an arithmetic number, because the mean of its divisors is an integer number (338255575).

Almost surely, 23479386561 is an apocalyptic number.

It is an amenable number.

3479386561 is a deficient number, since it is larger than the sum of its proper divisors (579680339).

3479386561 is a wasteful number, since it uses less digits than its factorization.

3479386561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203824 (or 203817 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 3479386561 is about 58986.3252033893. The cubic root of 3479386561 is about 1515.3079226119.

The spelling of 3479386561 in words is "three billion, four hundred seventy-nine million, three hundred eighty-six thousand, five hundred sixty-one".

Divisors: 1 7 49 349 2443 17101 203461 1424227 9969589 71007889 497055223 3479386561