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284037940 = 22514201897
BaseRepresentation
bin10000111011100…
…001001100110100
3201210110121210201
4100323201030310
51040203203230
644103530244
710016165644
oct2073411464
9653417721
10284037940
111363719aa
127b159984
1346acc5b4
1429a1a524
1519e095ca
hex10ee1334

284037940 has 12 divisors (see below), whose sum is σ = 596479716. Its totient is φ = 113615168.

The previous prime is 284037931. The next prime is 284037947. The reversal of 284037940 is 49730482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 155850256 + 128187684 = 12484^2 + 11322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 284037940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284037947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7100929 + ... + 7100968.

It is an arithmetic number, because the mean of its divisors is an integer number (49706643).

Almost surely, 2284037940 is an apocalyptic number.

284037940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284037940 is an abundant number, since it is smaller than the sum of its proper divisors (312441776).

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

284037940 is a wasteful number, since it uses less digits than its factorization.

284037940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14201906 (or 14201904 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 284037940 is about 16853.4251711633. The cubic root of 284037940 is about 657.3431143659.

The spelling of 284037940 in words is "two hundred eighty-four million, thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 14201897 28403794 56807588 71009485 142018970 284037940