Search a number
-
+
348023657 is a prime number
BaseRepresentation
bin10100101111100…
…110101101101001
3220020212102201002
4110233212231221
51203043224112
654311204345
711424103142
oct2457465551
9806772632
10348023657
111694a5363
12986766b5
1357143777
1434314ac9
15208481c2
hex14be6b69

348023657 has 2 divisors, whose sum is σ = 348023658. Its totient is φ = 348023656.

The previous prime is 348023653. The next prime is 348023659. The reversal of 348023657 is 756320843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234579856 + 113443801 = 15316^2 + 10651^2 .

It is a cyclic number.

It is not a de Polignac number, because 348023657 - 22 = 348023653 is a prime.

It is a super-2 number, since 2×3480236572 = 242240931663307298, which contains 22 as substring.

Together with 348023659, it forms a pair of twin primes.

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 348023657.

It is not a weakly prime, because it can be changed into another prime (348023651) 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, 174011828 + 174011829.

It is an arithmetic number, because the mean of its divisors is an integer number (174011829).

Almost surely, 2348023657 is an apocalyptic number.

It is an amenable number.

348023657 is a deficient number, since it is larger than the sum of its proper divisors (1).

348023657 is an equidigital number, since it uses as much as digits as its factorization.

348023657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 348023657 is about 18655.3921695578. The cubic root of 348023657 is about 703.4009039150.

The spelling of 348023657 in words is "three hundred forty-eight million, twenty-three thousand, six hundred fifty-seven".