Recognised as Number
-312
- Negative
- Even
- 3 digits
-312 is an even 3-digit integer and the negative of 312. It has 16 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value312
Digit count3
Digit sum6
Digit product6
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 3 × 13
Distinct prime factors32, 3, 13
Number of divisors16
Sum of divisors σ(n)840
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 31216 in total
Arithmetic
Representations
Decimal-312
Binary1001110009 bits
Octal470
Hexadecimal138
Base 368O
In wordsminus three hundred and twelve
Ordinalminus three hundred and twelfth
Scientific notation-3.12 × 10^2
Engineering notation-312
In other bases
Ternary102120base 3; the most digit-efficient integer base after e: 6 digits
Quinary2222base 5; one hand: 4 digits
Septenary624base 7: 3 digits
Nonary376base 9; each digit is two ternary digits: 3 digits
Duodecimal220base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalfcbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:12base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111011000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011001000
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 38
Gray code110100100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011001000two's complement
32-bit11111111111111111111111011001000two's complement
64-bit1111111111111111111111111111111111111111111111111111111011001000two's complement
One's complement0000000100110111at 16 bits, every bit flipped
Bits reversed0001001101111111at 16 bits
Rotated left by 11111110110010001at 16 bits, wrapping
Shifted left by 1-1001110000= -624, no wrap
Shifted right by 1-10011100= -156, discarding the low bit
These bits as a double1.54148482 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-312 to the power 297,344
-312 to the power 3-30,371,328
-312 to the power 49,475,854,336
-312 to the power 5-2,956,466,552,832
First ten multiples-312, -624, -936, -1,248, -1,560, -1,872, -2,184, -2,496, -2,808, -3,120
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 2
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 12
As a percentage & fraction
As a percentage-31,200%
-312% as a decimal-3.12
-312% of 100-312
-312% of 1,000-3,120
As a fraction of 100-312/100
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