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284093964 = 223272115
BaseRepresentation
bin10000111011101…
…110111000001100
3201210120110122200
4100323232320030
51040212001324
644105041500
710016521200
oct2073567014
9653513580
10284093964
11136400000
127b186290
1346b1bc4b
1429a32b00
1519e1aec9
hex10eeee0c

284093964 has 162 divisors, whose sum is σ = 918908172. Its totient is φ = 73790640.

The previous prime is 284093959. The next prime is 284093981. The reversal of 284093964 is 469390482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

284093964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25826719 + ... + 25826729.

Almost surely, 2284093964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284093964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459454086).

284093964 is an abundant number, since it is smaller than the sum of its proper divisors (634814208).

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

284093964 is an equidigital number, since it uses as much as digits as its factorization.

284093964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 284093964 is about 16855.0871845861. The cubic root of 284093964 is about 657.3863299185.

The spelling of 284093964 in words is "two hundred eighty-four million, ninety-three thousand, nine hundred sixty-four".