Search a number
-
+
3005443981 is a prime number
BaseRepresentation
bin1011001100100011…
…0110111110001101
321202110021101002001
42303020312332031
522123343201411
61214121032301
7134322565231
oct26310667615
97673241061
103005443981
111302549601
126ba625691
1338b86c427
142072225c1
15128cbbdc1
hexb3236f8d

3005443981 has 2 divisors, whose sum is σ = 3005443982. Its totient is φ = 3005443980.

The previous prime is 3005443979. The next prime is 3005444047. The reversal of 3005443981 is 1893445003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1553148100 + 1452295881 = 39410^2 + 38109^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005443981 - 21 = 3005443979 is a prime.

It is a super-2 number, since 2×30054439812 = 18065387045858256722, which contains 22 as substring.

Together with 3005443979, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3005443981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3005443381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502721990 + 1502721991.

It is an arithmetic number, because the mean of its divisors is an integer number (1502721991).

Almost surely, 23005443981 is an apocalyptic number.

It is an amenable number.

3005443981 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005443981 is an equidigital number, since it uses as much as digits as its factorization.

3005443981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3005443981 is about 54821.9297453127. The cubic root of 3005443981 is about 1443.1214408323.

Adding to 3005443981 its reverse (1893445003), we get a palindrome (4898888984).

The spelling of 3005443981 in words is "three billion, five million, four hundred forty-three thousand, nine hundred eighty-one".