Search a number
-
+
3009703841 is a prime number
BaseRepresentation
bin1011001101100100…
…0110111110100001
321202202021210111122
42303121012332201
522130441010331
61214352222025
7134404026524
oct26331067641
97682253448
103009703841
111304999051
126bbb3a915
1338c701361
14207a10bbb
1512935e17b
hexb3646fa1

3009703841 has 2 divisors, whose sum is σ = 3009703842. Its totient is φ = 3009703840.

The previous prime is 3009703831. The next prime is 3009703849. The reversal of 3009703841 is 1483079003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3002601616 + 7102225 = 54796^2 + 2665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3009703841 is a prime.

It is a super-3 number, since 3×30097038413 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3009703849) 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 as a sum of consecutive naturals, namely, 1504851920 + 1504851921.

It is an arithmetic number, because the mean of its divisors is an integer number (1504851921).

Almost surely, 23009703841 is an apocalyptic number.

It is an amenable number.

3009703841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3009703841 is an equidigital number, since it uses as much as digits as its factorization.

3009703841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3009703841 is about 54860.7677762534. The cubic root of 3009703841 is about 1443.8029367196.

The spelling of 3009703841 in words is "three billion, nine million, seven hundred three thousand, eight hundred forty-one".