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284140000 = 255414207
BaseRepresentation
bin10000111011111…
…010000111100000
3201210122210210201
4100323322013200
51040214440000
644110034544
710020102334
oct2073720740
9653583721
10284140000
11136431651
127b1a8a54
1346b36ba1
1429a457c4
1519e2996a
hex10efa1e0

284140000 has 60 divisors (see below), whose sum is σ = 699076224. Its totient is φ = 113648000.

The previous prime is 284139997. The next prime is 284140007. The reversal of 284140000 is 41482.

It is a self number, because there is not a number n which added to its sum of digits gives 284140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284140007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12897 + ... + 27103.

Almost surely, 2284140000 is an apocalyptic number.

284140000 is a gapful number since it is divisible by the number (20) 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 284140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349538112).

284140000 is an abundant number, since it is smaller than the sum of its proper divisors (414936224).

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

284140000 is an equidigital number, since it uses as much as digits as its factorization.

284140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 284140000 is about 16856.4527703785. The cubic root of 284140000 is about 657.4218367184.

Adding to 284140000 its reverse (41482), we get a palindrome (284181482).

The spelling of 284140000 in words is "two hundred eighty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 14207 20000 28414 56828 71035 113656 142070 227312 284140 355175 454624 568280 710350 1136560 1420700 1775875 2273120 2841400 3551750 5682800 7103500 8879375 11365600 14207000 17758750 28414000 35517500 56828000 71035000 142070000 284140000