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284327057 = 72171731973
BaseRepresentation
bin10000111100100…
…111110010010001
3201211000022101202
4100330213302101
51040241431212
644114040545
710021511600
oct2074476221
9654008352
10284327057
1113654a143
127b279155
1346ba1081
1429a93a37
1519e650c2
hex10f27c91

284327057 has 24 divisors (see below), whose sum is σ = 352406376. Its totient is φ = 227931648.

The previous prime is 284327053. The next prime is 284327063. The reversal of 284327057 is 750723482.

It can be written as a sum of positive squares in 4 ways, for example, as 98386561 + 185940496 = 9919^2 + 13636^2 .

It is not a de Polignac number, because 284327057 - 22 = 284327053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 284327057.

It is not an unprimeable number, because it can be changed into a prime (284327053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143123 + ... + 145095.

It is an arithmetic number, because the mean of its divisors is an integer number (14683599).

Almost surely, 2284327057 is an apocalyptic number.

It is an amenable number.

284327057 is a deficient number, since it is larger than the sum of its proper divisors (68079319).

284327057 is a wasteful number, since it uses less digits than its factorization.

284327057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 284327057 is about 16862.0003854821. Note that the first 3 decimals coincide. The cubic root of 284327057 is about 657.5660712276.

The spelling of 284327057 in words is "two hundred eighty-four million, three hundred twenty-seven thousand, fifty-seven".

Divisors: 1 7 17 49 119 173 833 1211 1973 2941 8477 13811 20587 33541 96677 144109 234787 341329 1643509 2389303 5802593 16725121 40618151 284327057