Search a number
-
+
304393 is a prime number
BaseRepresentation
bin1001010010100001001
3120110112211
41022110021
534220033
610305121
72405305
oct1122411
9513484
10304393
11198771
121281a1
13a871b
147cd05
15602cd
hex4a509

304393 has 2 divisors, whose sum is σ = 304394. Its totient is φ = 304392.

The previous prime is 304391. The next prime is 304411. The reversal of 304393 is 393403.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299209 + 5184 = 547^2 + 72^2 .

It is an emirp because it is prime and its reverse (393403) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 304393 - 21 = 304391 is a prime.

Together with 304391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (304391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152196 + 152197.

It is an arithmetic number, because the mean of its divisors is an integer number (152197).

2304393 is an apocalyptic number.

It is an amenable number.

304393 is a deficient number, since it is larger than the sum of its proper divisors (1).

304393 is an equidigital number, since it uses as much as digits as its factorization.

304393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 304393 is about 551.7182251838. The cubic root of 304393 is about 67.2684705787.

Adding to 304393 its reverse (393403), we get a palindrome (697796).

It can be divided in two parts, 3043 and 93, that added together give a square (3136 = 562).

The spelling of 304393 in words is "three hundred four thousand, three hundred ninety-three".