Search a number
-
+
390003349 is a prime number
BaseRepresentation
bin10111001111101…
…111101010010101
31000011212020000111
4113033233222111
51244320101344
6102411043021
712443655001
oct2717575225
91004766014
10390003349
1119016831a
12aa740471
1362a51418
1439b21701
152438b834
hex173efa95

390003349 has 2 divisors, whose sum is σ = 390003350. Its totient is φ = 390003348.

The previous prime is 390003331. The next prime is 390003371. The reversal of 390003349 is 943300093.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 382202500 + 7800849 = 19550^2 + 2793^2 .

It is an emirp because it is prime and its reverse (943300093) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 390003349 - 27 = 390003221 is a prime.

It is a super-2 number, since 2×3900033492 = 304205224462431602, which contains 22 as substring.

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 390003349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (390003389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195001674 + 195001675.

It is an arithmetic number, because the mean of its divisors is an integer number (195001675).

Almost surely, 2390003349 is an apocalyptic number.

It is an amenable number.

390003349 is a deficient number, since it is larger than the sum of its proper divisors (1).

390003349 is an equidigital number, since it uses as much as digits as its factorization.

390003349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 390003349 is about 19748.5024495530. The cubic root of 390003349 is about 730.6164487058.

The spelling of 390003349 in words is "three hundred ninety million, three thousand, three hundred forty-nine".