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684028801 is a prime number
BaseRepresentation
bin101000110001010…
…111001110000001
31202200010021010001
4220301113032001
52400102410201
6151513040001
722644102031
oct5061271601
91680107101
10684028801
11321130a65
121710b6001
13ab939991
1466bbb8c1
15400ba301
hex28c57381

684028801 has 2 divisors, whose sum is σ = 684028802. Its totient is φ = 684028800.

The previous prime is 684028799. The next prime is 684028811. The reversal of 684028801 is 108820486.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 446899600 + 237129201 = 21140^2 + 15399^2 .

It is a cyclic number.

It is not a de Polignac number, because 684028801 - 21 = 684028799 is a prime.

Together with 684028799, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (684028811) 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, 342014400 + 342014401.

It is an arithmetic number, because the mean of its divisors is an integer number (342014401).

Almost surely, 2684028801 is an apocalyptic number.

It is an amenable number.

684028801 is a deficient number, since it is larger than the sum of its proper divisors (1).

684028801 is an equidigital number, since it uses as much as digits as its factorization.

684028801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 684028801 is about 26153.9442723273. The cubic root of 684028801 is about 881.0991778775.

The spelling of 684028801 in words is "six hundred eighty-four million, twenty-eight thousand, eight hundred one".