Recognised as Number
-378
- Negative
- Even
- 3 digits
-378 is an even 3-digit integer and the negative of 378. It has 16 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value378
Digit count3
Digit sum18
Digit product168
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3^3 × 7
Distinct prime factors32, 3, 7
Number of divisors16
Sum of divisors σ(n)960
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 37816 in total
Arithmetic
Representations
Decimal-378
Binary1011110109 bits
Octal572
Hexadecimal17A
Base 36AI
In wordsminus three hundred and seventy-eight
Ordinalminus three hundred and seventy-eighth
Scientific notation-3.78 × 10^2
Engineering notation-378
In other bases
Ternary112000base 3; the most digit-efficient integer base after e: 6 digits
Quinary3003base 5; one hand: 4 digits
Septenary1050base 7: 4 digits
Nonary460base 9; each digit is two ternary digits: 3 digits
Duodecimal276base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimaliibase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:18base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110011010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010000110
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 even
Highest set bitbit 8worth 256
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes201 7a
Gray code111000111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010000110two's complement
32-bit11111111111111111111111010000110two's complement
64-bit1111111111111111111111111111111111111111111111111111111010000110two's complement
One's complement0000000101111001at 16 bits, every bit flipped
Bits reversed0110000101111111at 16 bits
Rotated left by 11111110100001101at 16 bits, wrapping
Shifted left by 1-1011110100= -756, no wrap
Shifted right by 1-10111101= -189, discarding the low bit
These bits as a double1.86756814 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-378 to the power 2142,884
-378 to the power 3-54,010,152
-378 to the power 420,415,837,456
-378 to the power 5-7,717,186,558,368
First ten multiples-378, -756, -1,134, -1,512, -1,890, -2,268, -2,646, -3,024, -3,402, -3,780
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8No, remainder 2
Divisible by 9Yes
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12No, remainder 6
Divisible by 100No, remainder 78
As a percentage & fraction
As a percentage-37,800%
-378% as a decimal-3.78
-378% of 100-378
-378% of 1,000-3,780
As a fraction of 100-378/100
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