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284324634841 = 132410172
BaseRepresentation
bin1000010001100110001…
…00011010000011011001
31000011220001221222020011
410020303010122003121
514124244101303331
6334341131401521
726353554343312
oct4106304320331
91004801858204
10284324634841
11aa643931465
124712b8b32a1
1320a723ba400
14da93357609
1575e14413b1
hex423311a0d9

284324634841 has 9 divisors (see below), whose sum is σ = 307885661181. Its totient is φ = 262447110432.

The previous prime is 284324634821. The next prime is 284324634859. The reversal of 284324634841 is 148436423482.

The square root of 284324634841 is 533221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3700167241 + 280624467600 = 60829^2 + 529740^2 .

It is not a de Polignac number, because 284324634841 - 211 = 284324632793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284324634821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6911365 + ... + 6952381.

It is an arithmetic number, because the mean of its divisors is an integer number (34209517909).

Almost surely, 2284324634841 is an apocalyptic number.

284324634841 is the 533221-st square number.

284324634841 is the 266611-st centered octagonal number.

It is an amenable number.

284324634841 is a deficient number, since it is larger than the sum of its proper divisors (23561026340).

284324634841 is an frugal number, since it uses more digits than its factorization.

284324634841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82060 (or 41030 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 49.

Multiplying 284324634841 by its sum of digits (49), we get a square (13931907107209 = 37325472).

The spelling of 284324634841 in words is "two hundred eighty-four billion, three hundred twenty-four million, six hundred thirty-four thousand, eight hundred forty-one".

Divisors: 1 13 169 41017 533221 6931873 1682394289 21871125757 284324634841