Search a number
-
+
348430729 is a prime number
BaseRepresentation
bin10100110001001…
…010000110001001
3220021122010002211
4110301022012021
51203144240404
654324025121
711430420013
oct2461120611
9807563084
10348430729
11169753189
12988321a1
1357256b3a
14343bd1b3
15208c8b04
hex14c4a189

348430729 has 2 divisors, whose sum is σ = 348430730. Its totient is φ = 348430728.

The previous prime is 348430711. The next prime is 348430783. The reversal of 348430729 is 927034843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194546704 + 153884025 = 13948^2 + 12405^2 .

It is a cyclic number.

It is not a de Polignac number, because 348430729 - 25 = 348430697 is a prime.

It is a super-2 number, since 2×3484307292 = 242807945822942882, which contains 22 as substring.

It is equal to p18723559 and since 348430729 and 18723559 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 = 348430691 and 348430700.

It is not a weakly prime, because it can be changed into another prime (348430799) 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, 174215364 + 174215365.

It is an arithmetic number, because the mean of its divisors is an integer number (174215365).

Almost surely, 2348430729 is an apocalyptic number.

It is an amenable number.

348430729 is a deficient number, since it is larger than the sum of its proper divisors (1).

348430729 is an equidigital number, since it uses as much as digits as its factorization.

348430729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 348430729 is about 18666.2992850752. The cubic root of 348430729 is about 703.6750454766.

The spelling of 348430729 in words is "three hundred forty-eight million, four hundred thirty thousand, seven hundred twenty-nine".