Search a number
-
+
946303649 is a prime number
BaseRepresentation
bin111000011001110…
…111001010100001
32102221122012120022
4320121313022201
53414223204044
6233522323225
732310306524
oct7031671241
92387565508
10946303649
11446188a35
12224ab9515
131210894b5
148d970bbb
15581263ee
hex386772a1

946303649 has 2 divisors, whose sum is σ = 946303650. Its totient is φ = 946303648.

The previous prime is 946303609. The next prime is 946303679.

946303649 is nontrivially palindromic in base 10.

946303649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 653722624 + 292581025 = 25568^2 + 17105^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 946303649 - 212 = 946299553 is a prime.

It is a super-2 number, since 2×9463036492 = 1790981192221430402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (946303609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473151824 + 473151825.

It is an arithmetic number, because the mean of its divisors is an integer number (473151825).

Almost surely, 2946303649 is an apocalyptic number.

It is an amenable number.

946303649 is a deficient number, since it is larger than the sum of its proper divisors (1).

946303649 is an equidigital number, since it uses as much as digits as its factorization.

946303649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 44.

The square root of 946303649 is about 30762.0488426893. The cubic root of 946303649 is about 981.7709367514.

The spelling of 946303649 in words is "nine hundred forty-six million, three hundred three thousand, six hundred forty-nine".