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329417681 is a prime number
BaseRepresentation
bin10011101000101…
…000001111010001
3211221212011002212
4103220220033101
51133312331211
652404321505
711110001255
oct2350501721
9757764085
10329417681
11159a4741a
12923a3295
135332aa08
1431a70265
151ddc038b
hex13a283d1

329417681 has 2 divisors, whose sum is σ = 329417682. Its totient is φ = 329417680.

The previous prime is 329417663. The next prime is 329417741. The reversal of 329417681 is 186714923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326886400 + 2531281 = 18080^2 + 1591^2 .

It is an emirp because it is prime and its reverse (186714923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 329417681 - 26 = 329417617 is a prime.

It is a super-2 number, since 2×3294176812 = 217032017110835522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329417651) 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, 164708840 + 164708841.

It is an arithmetic number, because the mean of its divisors is an integer number (164708841).

Almost surely, 2329417681 is an apocalyptic number.

It is an amenable number.

329417681 is a deficient number, since it is larger than the sum of its proper divisors (1).

329417681 is an equidigital number, since it uses as much as digits as its factorization.

329417681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 329417681 is about 18149.8672446936. The cubic root of 329417681 is about 690.6356118869.

The spelling of 329417681 in words is "three hundred twenty-nine million, four hundred seventeen thousand, six hundred eighty-one".