Recognised as Number
-343
- Negative
- Odd
- Perfect cube
- 3 digits
-343 is an odd 3-digit integer and the negative of 343. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value343
Digit count3
Digit sum10
Digit product36
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicYesreads the same backwards
Perfect cubeYes, -7³
Factors & divisors
Prime factorisation−1 × 7^3
Distinct prime factors17
Number of divisors4
Sum of divisors σ(n)400
SquarefreeNohas a repeated prime factor
All divisors1, 7, 49, 3434 in total
Arithmetic
Representations
Decimal-343
Binary1010101119 bits
Octal527
Hexadecimal157
Base 369J
In wordsminus three hundred and forty-three
Ordinalminus three hundred and forty-third
Scientific notation-3.43 × 10^2
Engineering notation-343
In other bases
Ternary110201base 3; the most digit-efficient integer base after e: 6 digits
Quinary2333base 5; one hand: 4 digits
Septenary1000base 7: 4 digits
Nonary421base 9; each digit is two ternary digits: 3 digits
Duodecimal247base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalh3base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:43base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTTT10Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111111001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010101001
Bit length9 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits3within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 57
Gray code111111100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010101001two's complement
32-bit11111111111111111111111010101001two's complement
64-bit1111111111111111111111111111111111111111111111111111111010101001two's complement
One's complement0000000101010110at 16 bits, every bit flipped
Bits reversed1001010101111111at 16 bits
Rotated left by 11111110101010011at 16 bits, wrapping
Shifted left by 1-1010101110= -686, no wrap
Shifted right by 1-10101100= -171, discarding the low bit
These bits as a double1.69464517 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-343 to the power 2117,649
-343 to the power 3-40,353,607
-343 to the power 413,841,287,201
-343 to the power 5-4,747,561,509,943
First ten multiples-343, -686, -1,029, -1,372, -1,715, -2,058, -2,401, -2,744, -3,087, -3,430
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 1
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 7
Divisible by 100No, remainder 43
As a percentage & fraction
As a percentage-34,300%
-343% as a decimal-3.43
-343% of 100-343
-343% of 1,000-3,430
As a fraction of 100-343/100
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