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3386211329 is a prime number
BaseRepresentation
bin1100100111010101…
…0111110000000001
322201222202100200102
43021311113300001
523413332230304
61320002132145
7146625215144
oct31165276001
98658670612
103386211329
111488478766
127a6051055
1341c708957
14241a1c05b
1514c431d1e
hexc9d57c01

3386211329 has 2 divisors, whose sum is σ = 3386211330. Its totient is φ = 3386211328.

The previous prime is 3386211299. The next prime is 3386211337. The reversal of 3386211329 is 9231126833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3192250000 + 193961329 = 56500^2 + 13927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3386211329 is a prime.

It is a super-2 number, since 2×33862113292 = 22932854329295892482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3386211292 and 3386211301.

It is not a weakly prime, because it can be changed into another prime (3386211349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1693105664 + 1693105665.

It is an arithmetic number, because the mean of its divisors is an integer number (1693105665).

Almost surely, 23386211329 is an apocalyptic number.

It is an amenable number.

3386211329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3386211329 is an equidigital number, since it uses as much as digits as its factorization.

3386211329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 38.

The square root of 3386211329 is about 58191.1619492170. The cubic root of 3386211329 is about 1501.6591018737.

The spelling of 3386211329 in words is "three billion, three hundred eighty-six million, two hundred eleven thousand, three hundred twenty-nine".