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284912424 = 233313110069
BaseRepresentation
bin10000111110110…
…110101100101000
3201212010001101000
4100332312230220
51040414144144
644134355000
710026500316
oct2076665450
9655101330
10284912424
11136909a15
127b4bba60
1347047644
1429ba70b6
151a02d769
hex10fb6b28

284912424 has 64 divisors (see below), whose sum is σ = 797544000. Its totient is φ = 94236480.

The previous prime is 284912417. The next prime is 284912491. The reversal of 284912424 is 424219482.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23262 + ... + 33330.

It is an arithmetic number, because the mean of its divisors is an integer number (12461625).

Almost surely, 2284912424 is an apocalyptic number.

284912424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284912424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398772000).

284912424 is an abundant number, since it is smaller than the sum of its proper divisors (512631576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284912424 is a wasteful number, since it uses less digits than its factorization.

284912424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10205 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 284912424 is about 16879.3490395809. The cubic root of 284912424 is about 658.0170232998.

The spelling of 284912424 in words is "two hundred eighty-four million, nine hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 10069 14148 20138 28296 30207 40276 60414 80552 90621 120828 181242 241656 271863 362484 543726 724968 1087452 1319039 2174904 2638078 3957117 5276156 7914234 10552312 11871351 15828468 23742702 31656936 35614053 47485404 71228106 94970808 142456212 284912424