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3348

Number 3348: Properties, Factors, and Mathematical Facts

Short answer

The number 3348 is an even composite number with 24 positive divisors. Its prime factorization is 2² × 3³ × 31. It is also an abundant number, which gives it several notable mathematical relationships.

Is 3348 prime?

ClassificationCompositeParityEvenDivisor count24AbundanceAbundant

What is the prime factorization of 3348?

Prime factorization

3348 =
2 squared times 3 cubed times 31
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What are the divisors of 3348?

Divisor count

24

Divisor sum

8,960

Proper divisor sum

5,612
  • 1
  • 2
  • 3
  • 4
  • 6
  • 9
  • 12
  • 18
  • 27
  • 31
  • 36
  • 54
  • 62
  • 93
  • 108
  • 124
  • 186
  • 279
  • 372
  • 558
  • 837
  • 1116
  • 1674
  • 3348

How is 3348 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 3348 represented in other numeral systems?

Decimal

3348

Binary

110100010100
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Octal

6424

Hexadecimal

Roman

MMMCCCXLVIIILearn more

In words

three thousand three hundred forty eight

Roots and powers

Square root

57.861905 Approximate

Cube root

14.959893 Approximate

Nearest lower square

3249

Nearest higher square

3364

Nearest lower cube

2744

Nearest higher cube

3375

What are the digit properties of 3348?

Digit count

4

Digit sum

Digit product

288

Digital root

9

Reversed number

8433

Why these results are true

  • 3348 is composite because it has positive divisors other than 1 and itself.
  • 3348 is abundant because the sum of its proper divisors (5612) is greater than 3348.

Compare this number

FAQ for 3348

Is 3348 prime?
No
What is the prime factorization of 3348?
2² × 3³ × 31
Is 3348 a perfect square?
No
What is 3348 in binary?
110100010100
What is 3348 in Roman numerals?
MMMCCCXLVIII

Read calculation methodology