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336

Number 336: Properties, Factors, and Mathematical Facts

Short answer

The number 336 is an even composite number with 20 positive divisors. Its prime factorization is 2⁴ × 3 × 7. It is also an abundant number, which gives it several notable mathematical relationships.

Is 336 prime?

ClassificationCompositeParityEvenDivisor count20AbundanceAbundant

What is the prime factorization of 336?

Prime factorization

336 =
2 to the power of 4 times 3 times 7
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What are the divisors of 336?

Divisor count

20

Divisor sum

992

Proper divisor sum

656
  • 1
  • 2
  • 3
  • 4
  • 6
  • 7
  • 8
  • 12
  • 14
  • 16
  • 21
  • 24
  • 28
  • 42
  • 48
  • 56
  • 84
  • 112
  • 168
  • 336

How is 336 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 336 represented in other numeral systems?

Decimal

336

Binary

101010000
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Octal

520

Hexadecimal

Roman

In words

three hundred thirty six

Roots and powers

Square root

18.330303 Approximate

Cube root

6.952053 Approximate

Nearest lower square

324

Nearest higher square

361

Nearest lower cube

216

Nearest higher cube

343

What are the digit properties of 336?

Digit count

3

Digit sum

Digit product

54

Digital root

3

Reversed number

633

Why these results are true

  • 336 is composite because it has positive divisors other than 1 and itself.
  • 336 is abundant because the sum of its proper divisors (656) is greater than 336.

Compare this number

FAQ for 336

Is 336 prime?
No
What is the prime factorization of 336?
2⁴ × 3 × 7
Is 336 a perfect square?
No
What is 336 in binary?
101010000
What is 336 in Roman numerals?
CCCXXXVI

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