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1680338617 is a prime number
BaseRepresentation
bin110010000100111…
…1110111010111001
311100002212001020121
41210021332322321
511420131313432
6434423253241
756432433256
oct14411767271
94302761217
101680338617
11792564301
123aa8aa221
1320a184309
1411d24842d
159c7bd197
hex6427eeb9

1680338617 has 2 divisors, whose sum is σ = 1680338618. Its totient is φ = 1680338616.

The previous prime is 1680338579. The next prime is 1680338657. The reversal of 1680338617 is 7168330861.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1197921321 + 482417296 = 34611^2 + 21964^2 .

It is an emirp because it is prime and its reverse (7168330861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1680338617 - 227 = 1546120889 is a prime.

It is a super-3 number, since 3×16803386173 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1680338657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840169308 + 840169309.

It is an arithmetic number, because the mean of its divisors is an integer number (840169309).

Almost surely, 21680338617 is an apocalyptic number.

It is an amenable number.

1680338617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680338617 is an equidigital number, since it uses as much as digits as its factorization.

1680338617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1680338617 is about 40991.9335601530. The cubic root of 1680338617 is about 1188.8642547514.

The spelling of 1680338617 in words is "one billion, six hundred eighty million, three hundred thirty-eight thousand, six hundred seventeen".