Search a number
-
+
304688381 is a prime number
BaseRepresentation
bin10010001010010…
…010110011111101
3210020022202212212
4102022102303331
51111000012011
650122310205
710356544214
oct2212226375
9706282785
10304688381
11146a96988
1286058365
134b17caaa
142c67407b
151bb3808b
hex12292cfd

304688381 has 2 divisors, whose sum is σ = 304688382. Its totient is φ = 304688380.

The previous prime is 304688323. The next prime is 304688387. The reversal of 304688381 is 183886403.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267976900 + 36711481 = 16370^2 + 6059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-304688381 is a prime.

It is a super-2 number, since 2×3046883812 = 185670019032802322, which contains 22 as substring.

It is a Chen prime.

It is equal to p16492388 and since 304688381 and 16492388 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (304688387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152344190 + 152344191.

It is an arithmetic number, because the mean of its divisors is an integer number (152344191).

Almost surely, 2304688381 is an apocalyptic number.

It is an amenable number.

304688381 is a deficient number, since it is larger than the sum of its proper divisors (1).

304688381 is an equidigital number, since it uses as much as digits as its factorization.

304688381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 304688381 is about 17455.3252905811. The cubic root of 304688381 is about 672.9022250724.

The spelling of 304688381 in words is "three hundred four million, six hundred eighty-eight thousand, three hundred eighty-one".