Number reference
343 explained.
343: three hundred forty-three, composite, perfect cube; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- three hundred forty-three
- Classification
- composite
- Factors
- 1, 7, 49, 343
- Prime factorization
- 7 × 7 × 7
- Square root
- 18.520259
- Cube root
- 7
- Binary
- 101010111
- Octal
- 527
- Hexadecimal
- 157
- Roman numeral
- CCCXLIII
- Digit sum
- 10
- Digital root
- 1
What makes 343 notable
- Perfect cube. 343 = 7³, so a cube of edge 7 has a volume of 343.
343 in everyday use
Three hundred forty-three is the speed of sound in dry air at 20 °C, in metres per second, the figure used to convert the delay between lightning and thunder into a distance of roughly a kilometre every three seconds. It is the number of New York City firefighters who died on 11 September 2001, a total commemorated on memorials across the city. The video-game studio 343 Industries, custodian of the Halo series, named itself after the character 343 Guilty Spark.
Mathematically 343 is seven cubed, and it has a neat self-reference: 3 + 4 = 7, so 343 = (3 + 4)³. It is a palindrome and the smallest palindromic cube with more than one digit, followed by 1,331 and 1,030,301, the cubes of 11 and 101. Its only divisors are 1, 7, 49, and 343. It is 101010111 in binary and 157 in hexadecimal, and its digit sum is 10.
Nearby numbers
How to read this page
The factor list shows every way 343 splits into equal whole-number groups — 4 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 343 for contexts that do not use decimal.
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