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319338241 is a prime number
BaseRepresentation
bin10011000010001…
…011011100000001
3211020220001201021
4103002023130001
51123222310431
651404305441
710625221165
oct2302133401
9736801637
10319338241
11154292602
128ab42281
135120bc51
14305a8ca5
151d07db11
hex1308b701

319338241 has 2 divisors, whose sum is σ = 319338242. Its totient is φ = 319338240.

The previous prime is 319338211. The next prime is 319338277. The reversal of 319338241 is 142833913.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316697616 + 2640625 = 17796^2 + 1625^2 .

It is an emirp because it is prime and its reverse (142833913) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 319338241 - 223 = 310949633 is a prime.

It is equal to p17241388 and since 319338241 and 17241388 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 319338197 and 319338206.

It is not a weakly prime, because it can be changed into another prime (319338211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159669120 + 159669121.

It is an arithmetic number, because the mean of its divisors is an integer number (159669121).

Almost surely, 2319338241 is an apocalyptic number.

It is an amenable number.

319338241 is a deficient number, since it is larger than the sum of its proper divisors (1).

319338241 is an equidigital number, since it uses as much as digits as its factorization.

319338241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The square root of 319338241 is about 17870.0375209455. The cubic root of 319338241 is about 683.5185566237.

The spelling of 319338241 in words is "three hundred nineteen million, three hundred thirty-eight thousand, two hundred forty-one".