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264384137 is a prime number
BaseRepresentation
bin11111100001000…
…10111010001001
3200102111002212002
433300202322021
51020140243022
642122400345
76360141143
oct1760427211
9612432762
10264384137
11126268796
12746600b5
1342a0a924
1427181c93
1518326092
hexfc22e89

264384137 has 2 divisors, whose sum is σ = 264384138. Its totient is φ = 264384136.

The previous prime is 264384121. The next prime is 264384157. The reversal of 264384137 is 731483462.

264384137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149915536 + 114468601 = 12244^2 + 10699^2 .

It is a cyclic number.

It is not a de Polignac number, because 264384137 - 24 = 264384121 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264384137.

It is not a weakly prime, because it can be changed into another prime (264384157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132192068 + 132192069.

It is an arithmetic number, because the mean of its divisors is an integer number (132192069).

Almost surely, 2264384137 is an apocalyptic number.

It is an amenable number.

264384137 is a deficient number, since it is larger than the sum of its proper divisors (1).

264384137 is an equidigital number, since it uses as much as digits as its factorization.

264384137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96768, while the sum is 38.

The square root of 264384137 is about 16259.8935113364. The cubic root of 264384137 is about 641.8178598090.

The spelling of 264384137 in words is "two hundred sixty-four million, three hundred eighty-four thousand, one hundred thirty-seven".