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814350017 = 1397661977
BaseRepresentation
bin110000100010011…
…111111011000001
32002202100021012202
4300202133323001
53131433200032
6212450202545
726115601205
oct6042377301
92082307182
10814350017
11388752248
121a8883455
13cc938720
147a222b05
154b75dd62
hex3089fec1

814350017 has 16 divisors (see below), whose sum is σ = 888282192. Its totient is φ = 742072320.

The previous prime is 814350011. The next prime is 814350023. The reversal of 814350017 is 710053418.

814350017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (814350011) and next prime (814350023).

It can be written as a sum of positive squares in 8 ways, for example, as 32364721 + 781985296 = 5689^2 + 27964^2 .

It is a cyclic number.

It is not a de Polignac number, because 814350017 - 24 = 814350001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814350011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833033 + ... + 834009.

It is an arithmetic number, because the mean of its divisors is an integer number (55517637).

Almost surely, 2814350017 is an apocalyptic number.

It is an amenable number.

814350017 is a deficient number, since it is larger than the sum of its proper divisors (73932175).

814350017 is a wasteful number, since it uses less digits than its factorization.

814350017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 814350017 is about 28536.8186208624. The cubic root of 814350017 is about 933.8354789261.

The spelling of 814350017 in words is "eight hundred fourteen million, three hundred fifty thousand, seventeen".

Divisors: 1 13 97 661 977 1261 8593 12701 64117 94769 645797 833521 1231997 8395361 62642309 814350017