Recognised as Number
-336
- Negative
- Even
- 3 digits
-336 is an even 3-digit integer and the negative of 336. It has 20 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value336
Digit count3
Digit sum12
Digit product54
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 3 × 7
Distinct prime factors32, 3, 7
Number of divisors20
Sum of divisors σ(n)992
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 33620 in total
Arithmetic
Representations
Decimal-336
Binary1010100009 bits
Octal520
Hexadecimal150
Base 369C
In wordsminus three hundred and thirty-six
Ordinalminus three hundred and thirty-sixth
Scientific notation-3.36 × 10^2
Engineering notation-336
In other bases
Ternary110110base 3; the most digit-efficient integer base after e: 6 digits
Quinary2321base 5; one hand: 4 digits
Septenary660base 7: 3 digits
Nonary413base 9; each digit is two ternary digits: 3 digits
Duodecimal240base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalggbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:36base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010110000
Bit length9 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits6within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes201 50
Gray code111111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010110000two's complement
32-bit11111111111111111111111010110000two's complement
64-bit1111111111111111111111111111111111111111111111111111111010110000two's complement
One's complement0000000101001111at 16 bits, every bit flipped
Bits reversed0000110101111111at 16 bits
Rotated left by 11111110101100001at 16 bits, wrapping
Shifted left by 1-1010100000= -672, no wrap
Shifted right by 1-10101000= -168, discarding the low bit
These bits as a double1.66006057 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-336 to the power 2112,896
-336 to the power 3-37,933,056
-336 to the power 412,745,506,816
-336 to the power 5-4,282,490,290,176
First ten multiples-336, -672, -1,008, -1,344, -1,680, -2,016, -2,352, -2,688, -3,024, -3,360
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10No, remainder 6
Divisible by 11No, remainder 6
Divisible by 12Yes
Divisible by 100No, remainder 36
As a percentage & fraction
As a percentage-33,600%
-336% as a decimal-3.36
-336% of 100-336
-336% of 1,000-3,360
As a fraction of 100-336/100
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