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384

Number 384: Properties, Factors, and Mathematical Facts

Short answer

The number 384 is an even composite number with 16 positive divisors. Its prime factorization is 2⁷ × 3. It is also an abundant number, which gives it several notable mathematical relationships.

Is 384 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 384?

Prime factorization

384 =
2 to the power of 7 times 3
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What are the divisors of 384?

Divisor count

16

Divisor sum

1,020

Proper divisor sum

636
  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 12
  • 16
  • 24
  • 32
  • 48
  • 64
  • 96
  • 128
  • 192
  • 384

How is 384 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 384 represented in other numeral systems?

Decimal

384

Binary

110000000
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Octal

600

Hexadecimal

Roman

In words

three hundred eighty four

Roots and powers

Square root

19.595918 Approximate

Cube root

7.268482 Approximate

Nearest lower square

361

Nearest higher square

400

Nearest lower cube

343

Nearest higher cube

512

What are the digit properties of 384?

Digit count

3

Digit sum

Digit product

96

Digital root

6

Reversed number

483

Why these results are true

  • 384 is composite because it has positive divisors other than 1 and itself.
  • 384 is abundant because the sum of its proper divisors (636) is greater than 384.

Compare this number

FAQ for 384

Is 384 prime?
No
What is the prime factorization of 384?
2⁷ × 3
Is 384 a perfect square?
No
What is 384 in binary?
110000000
What is 384 in Roman numerals?
CCCLXXXIV

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