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264392329 is a prime number
BaseRepresentation
bin11111100001001…
…00111010001001
3200102111112002111
433300210322021
51020141023304
642122502321
76360204055
oct1760447211
9612445074
10264392329
11126273963
12746649a1
1342a11586
1427184c65
1518328704
hexfc24e89

264392329 has 2 divisors, whose sum is σ = 264392330. Its totient is φ = 264392328.

The previous prime is 264392309. The next prime is 264392341. The reversal of 264392329 is 923293462.

264392329 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., 260499600 + 3892729 = 16140^2 + 1973^2 .

It is a cyclic number.

It is not a de Polignac number, because 264392329 - 213 = 264384137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264392291 and 264392300.

It is not a weakly prime, because it can be changed into another prime (264392309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132196164 + 132196165.

It is an arithmetic number, because the mean of its divisors is an integer number (132196165).

Almost surely, 2264392329 is an apocalyptic number.

It is an amenable number.

264392329 is a deficient number, since it is larger than the sum of its proper divisors (1).

264392329 is an equidigital number, since it uses as much as digits as its factorization.

264392329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 139968, while the sum is 40.

The square root of 264392329 is about 16260.1454175539. The cubic root of 264392329 is about 641.8244886958.

The spelling of 264392329 in words is "two hundred sixty-four million, three hundred ninety-two thousand, three hundred twenty-nine".