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334340009 is a prime number
BaseRepresentation
bin10011111011011…
…001111110101001
3212022010020021022
4103323121332221
51141042340014
653102022225
711166562133
oct2373317651
9768106238
10334340009
111617a9663
1293b77975
1354362333
1432592053
151e543a8e
hex13ed9fa9

334340009 has 2 divisors, whose sum is σ = 334340010. Its totient is φ = 334340008.

The previous prime is 334339987. The next prime is 334340047. The reversal of 334340009 is 900043433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183738025 + 150601984 = 13555^2 + 12272^2 .

It is a cyclic number.

It is not a de Polignac number, because 334340009 - 224 = 317562793 is a prime.

It is a super-3 number, since 3×3343400093 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 334340009.

It is not a weakly prime, because it can be changed into another prime (334340089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167170004 + 167170005.

It is an arithmetic number, because the mean of its divisors is an integer number (167170005).

Almost surely, 2334340009 is an apocalyptic number.

It is an amenable number.

334340009 is a deficient number, since it is larger than the sum of its proper divisors (1).

334340009 is an equidigital number, since it uses as much as digits as its factorization.

334340009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 334340009 is about 18284.9667486709. The cubic root of 334340009 is about 694.0585628008.

The spelling of 334340009 in words is "three hundred thirty-four million, three hundred forty thousand, nine".