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3334213217 is a prime number
BaseRepresentation
bin1100011010111100…
…0000111001100001
322121100220120200102
43012233000321201
523312024310332
61310503432145
7145424226146
oct30657007141
98540816612
103334213217
111461092815
12790755655
13411a00c3a
14238b643cd
15147ab0062
hexc6bc0e61

3334213217 has 2 divisors, whose sum is σ = 3334213218. Its totient is φ = 3334213216.

The previous prime is 3334213177. The next prime is 3334213219. The reversal of 3334213217 is 7123124333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2511613456 + 822599761 = 50116^2 + 28681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3334213217 is a prime.

It is a super-2 number, since 2×33342132172 = 22233955552834978178, which contains 22 as substring.

Together with 3334213219, it forms a pair of twin primes.

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 3334213217.

It is not a weakly prime, because it can be changed into another prime (3334213219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1667106608 + 1667106609.

It is an arithmetic number, because the mean of its divisors is an integer number (1667106609).

Almost surely, 23334213217 is an apocalyptic number.

It is an amenable number.

3334213217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3334213217 is an equidigital number, since it uses as much as digits as its factorization.

3334213217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 29.

The square root of 3334213217 is about 57742.6464322514. The cubic root of 3334213217 is about 1493.9330077838.

The spelling of 3334213217 in words is "three billion, three hundred thirty-four million, two hundred thirteen thousand, two hundred seventeen".