Search a number
-
+
3415688641 is a prime number
BaseRepresentation
bin1100101110010111…
…0100010111000001
322211001012221221201
43023211310113001
523443404014031
61322534021201
7150433605631
oct31345642701
98731187851
103415688641
1114a3081482
127b3aa7801
13425859a51
142458d26c1
1514ed05d61
hexcb9745c1

3415688641 has 2 divisors, whose sum is σ = 3415688642. Its totient is φ = 3415688640.

The previous prime is 3415688587. The next prime is 3415688687. The reversal of 3415688641 is 1468865143.

3415688641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3415688687) can be obtained adding 3415688641 to its sum of digits (46).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3412896400 + 2792241 = 58420^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 3415688641 - 27 = 3415688513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3415688591 and 3415688600.

It is not a weakly prime, because it can be changed into another prime (3415688141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1707844320 + 1707844321.

It is an arithmetic number, because the mean of its divisors is an integer number (1707844321).

Almost surely, 23415688641 is an apocalyptic number.

It is an amenable number.

3415688641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3415688641 is an equidigital number, since it uses as much as digits as its factorization.

3415688641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 552960, while the sum is 46.

The square root of 3415688641 is about 58443.8931027015. The cubic root of 3415688641 is about 1506.0038836732.

The spelling of 3415688641 in words is "three billion, four hundred fifteen million, six hundred eighty-eight thousand, six hundred forty-one".