Search a number
-
+
264311417 is a prime number
BaseRepresentation
bin11111100000100…
…01001001111001
3200102100102002202
433300101021321
51020130431132
642121035545
76356416136
oct1760211171
9612312082
10264311417
11126219097
1274625bb5
13429b37b6
142716358d
151830e762
hexfc11279

264311417 has 2 divisors, whose sum is σ = 264311418. Its totient is φ = 264311416.

The previous prime is 264311389. The next prime is 264311429. The reversal of 264311417 is 714113462.

It is a happy number.

264311417 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., 245266921 + 19044496 = 15661^2 + 4364^2 .

It is a cyclic number.

It is not a de Polignac number, because 264311417 - 210 = 264310393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264311417.

It is not a weakly prime, because it can be changed into another prime (264311447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132155708 + 132155709.

It is an arithmetic number, because the mean of its divisors is an integer number (132155709).

Almost surely, 2264311417 is an apocalyptic number.

It is an amenable number.

264311417 is a deficient number, since it is larger than the sum of its proper divisors (1).

264311417 is an equidigital number, since it uses as much as digits as its factorization.

264311417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 264311417 is about 16257.6571805411. The cubic root of 264311417 is about 641.7590094872.

Adding to 264311417 its reverse (714113462), we get a palindrome (978424879).

The spelling of 264311417 in words is "two hundred sixty-four million, three hundred eleven thousand, four hundred seventeen".