Search a number
-
+
293430493 is a prime number
BaseRepresentation
bin10001011111010…
…110010011011101
3202110010210222001
4101133112103131
51100104233433
645041122301
710162055326
oct2137262335
9673123861
10293430493
111406a7744
1282329391
1348a3a815
142ad8344d
151ab6257d
hex117d64dd

293430493 has 2 divisors, whose sum is σ = 293430494. Its totient is φ = 293430492.

The previous prime is 293430491. The next prime is 293430539. The reversal of 293430493 is 394034392.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197037369 + 96393124 = 14037^2 + 9818^2 .

It is a cyclic number.

It is not a de Polignac number, because 293430493 - 21 = 293430491 is a prime.

It is a super-2 number, since 2×2934304932 = 172202908444446098, which contains 22 as substring.

Together with 293430491, it forms a pair of twin primes.

It is equal to p15915574 and since 293430493 and 15915574 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 (293430491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146715246 + 146715247.

It is an arithmetic number, because the mean of its divisors is an integer number (146715247).

Almost surely, 2293430493 is an apocalyptic number.

It is an amenable number.

293430493 is a deficient number, since it is larger than the sum of its proper divisors (1).

293430493 is an equidigital number, since it uses as much as digits as its factorization.

293430493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 293430493 is about 17129.8129878875. The cubic root of 293430493 is about 664.5103471433.

The spelling of 293430493 in words is "two hundred ninety-three million, four hundred thirty thousand, four hundred ninety-three".