Recognised as Number
-381
- Negative
- Odd
- 3 digits
-381 is an odd 3-digit integer and the negative of 381. It has 4 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value381
Digit count3
Digit sum12
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 127
Distinct prime factors23, 127
Number of divisors4
Sum of divisors σ(n)512
SquarefreeYesno repeated prime factor
All divisors1, 3, 127, 3814 in total
Arithmetic
Representations
Decimal-381
Binary1011111019 bits
Octal575
Hexadecimal17D
Base 36AL
In wordsminus three hundred and eighty-one
Ordinalminus three hundred and eighty-first
Scientific notation-3.81 × 10^2
Engineering notation-381
In other bases
Ternary112010base 3; the most digit-efficient integer base after e: 6 digits
Quinary3011base 5; one hand: 4 digits
Septenary1053base 7: 4 digits
Nonary463base 9; each digit is two ternary digits: 3 digits
Duodecimal279base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalj1base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:21base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1110T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110000111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010000011
Bit length9 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits2within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 7d
Gray code111000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010000011two's complement
32-bit11111111111111111111111010000011two's complement
64-bit1111111111111111111111111111111111111111111111111111111010000011two's complement
One's complement0000000101111100at 16 bits, every bit flipped
Bits reversed1100000101111111at 16 bits
Rotated left by 11111110100000111at 16 bits, wrapping
Shifted left by 1-1011111010= -762, no wrap
Shifted right by 1-10111111= -190, discarding the low bit
These bits as a double1.88239011 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-381 to the power 2145,161
-381 to the power 3-55,306,341
-381 to the power 421,071,715,921
-381 to the power 5-8,028,323,765,901
First ten multiples-381, -762, -1,143, -1,524, -1,905, -2,286, -2,667, -3,048, -3,429, -3,810
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 5
Divisible by 9No, remainder 3
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 9
Divisible by 100No, remainder 81
As a percentage & fraction
As a percentage-38,100%
-381% as a decimal-3.81
-381% of 100-381
-381% of 1,000-3,810
As a fraction of 100-381/100
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