Search a number
-
+
3006682241 is a prime number
BaseRepresentation
bin1011001100110110…
…0101010010000001
321202112121021122112
42303031211102001
522124202312431
61214203345105
7134336243303
oct26315452201
97675537575
103006682241
111303214962
126bab22195
1338bbb3c24
14207465973
15128e63c2b
hexb3365481

3006682241 has 2 divisors, whose sum is σ = 3006682242. Its totient is φ = 3006682240.

The previous prime is 3006682207. The next prime is 3006682247. The reversal of 3006682241 is 1422866003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2980723216 + 25959025 = 54596^2 + 5095^2 .

It is a cyclic number.

It is not a de Polignac number, because 3006682241 - 230 = 1932940417 is a prime.

It is a super-3 number, since 3×30066822413 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3006682198 and 3006682207.

It is not a weakly prime, because it can be changed into another prime (3006682247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503341120 + 1503341121.

It is an arithmetic number, because the mean of its divisors is an integer number (1503341121).

Almost surely, 23006682241 is an apocalyptic number.

It is an amenable number.

3006682241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006682241 is an equidigital number, since it uses as much as digits as its factorization.

3006682241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3006682241 is about 54833.2220556115. Note that the first 3 decimals coincide. The cubic root of 3006682241 is about 1443.3196050314.

The spelling of 3006682241 in words is "three billion, six million, six hundred eighty-two thousand, two hundred forty-one".