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284298340 = 22514214917
BaseRepresentation
bin10000111100100…
…000110001100100
3201210221212000011
4100330200301210
51040240021330
644113300004
710021332064
oct2074406144
9653855004
10284298340
1113652a607
127b264604
1346b90c91
1429a873a4
1519e5b82a
hex10f20c64

284298340 has 12 divisors (see below), whose sum is σ = 597026556. Its totient is φ = 113719328.

The previous prime is 284298319. The next prime is 284298341. The reversal of 284298340 is 43892482.

284298340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48553024 + 235745316 = 6968^2 + 15354^2 .

It is a super-2 number, since 2×2842983402 = 161651092253511200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284298293 and 284298302.

It is not an unprimeable number, because it can be changed into a prime (284298341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7107439 + ... + 7107478.

It is an arithmetic number, because the mean of its divisors is an integer number (49752213).

Almost surely, 2284298340 is an apocalyptic number.

284298340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284298340 is an abundant number, since it is smaller than the sum of its proper divisors (312728216).

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

284298340 is a wasteful number, since it uses less digits than its factorization.

284298340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214926 (or 14214924 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 284298340 is about 16861.1488339318. The cubic root of 284298340 is about 657.5439324498.

The spelling of 284298340 in words is "two hundred eighty-four million, two hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 14214917 28429834 56859668 71074585 142149170 284298340