Search a number
-
+
346354201 is a prime number
BaseRepresentation
bin10100101001001…
…111001000011001
3220010201121122101
4110221033020121
51202131313301
654211323401
711403651004
oct2451171031
9803647571
10346354201
11168565046
1297bb0561
13569aa91b
1433ddc53b
1520618701
hex14a4f219

346354201 has 2 divisors, whose sum is σ = 346354202. Its totient is φ = 346354200.

The previous prime is 346354187. The next prime is 346354213. The reversal of 346354201 is 102453643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227979801 + 118374400 = 15099^2 + 10880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-346354201 is a prime.

It is a super-3 number, since 3×3463542013 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 346354201.

It is not a weakly prime, because it can be changed into another prime (346354241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173177100 + 173177101.

It is an arithmetic number, because the mean of its divisors is an integer number (173177101).

Almost surely, 2346354201 is an apocalyptic number.

It is an amenable number.

346354201 is a deficient number, since it is larger than the sum of its proper divisors (1).

346354201 is an equidigital number, since it uses as much as digits as its factorization.

346354201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 346354201 is about 18610.5937841865. The cubic root of 346354201 is about 702.2743717178.

The spelling of 346354201 in words is "three hundred forty-six million, three hundred fifty-four thousand, two hundred one".