Search a number
-
+
3005780417 is a prime number
BaseRepresentation
bin1011001100101000…
…1001000111000001
321202110220110120122
42303022021013001
522123434433132
61214132150025
7134325466133
oct26312110701
97673813518
103005780417
111302759352
126ba768315
1338b9595c3
142072ad053
15128d36912
hexb32891c1

3005780417 has 2 divisors, whose sum is σ = 3005780418. Its totient is φ = 3005780416.

The previous prime is 3005780413. The next prime is 3005780423. The reversal of 3005780417 is 7140875003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2694751921 + 311028496 = 51911^2 + 17636^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005780417 - 22 = 3005780413 is a prime.

It is not a weakly prime, because it can be changed into another prime (3005780413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502890208 + 1502890209.

It is an arithmetic number, because the mean of its divisors is an integer number (1502890209).

Almost surely, 23005780417 is an apocalyptic number.

It is an amenable number.

3005780417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005780417 is an equidigital number, since it uses as much as digits as its factorization.

3005780417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 3005780417 is about 54824.9981030551. The cubic root of 3005780417 is about 1443.1752875509.

The spelling of 3005780417 in words is "three billion, five million, seven hundred eighty thousand, four hundred seventeen".