Recognised as Number
-372
- Negative
- Even
- 3 digits
-372 is an even 3-digit integer and the negative of 372. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value372
Digit count3
Digit sum12
Digit product42
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 × 2^2 × 3 × 31
Distinct prime factors32, 3, 31
Number of divisors12
Sum of divisors σ(n)896
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 37212 in total
Arithmetic
Representations
Decimal-372
Binary1011101009 bits
Octal564
Hexadecimal174
Base 36AC
In wordsminus three hundred and seventy-two
Ordinalminus three hundred and seventy-second
Scientific notation-3.72 × 10^2
Engineering notation-372
In other bases
Ternary111210base 3; the most digit-efficient integer base after e: 6 digits
Quinary2442base 5; one hand: 4 digits
Septenary1041base 7: 4 digits
Nonary453base 9; each digit is two ternary digits: 3 digits
Duodecimal270base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalicbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:12base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1111T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010001100
Bit length9 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits4within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes201 74
Gray code111001110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010001100two's complement
32-bit11111111111111111111111010001100two's complement
64-bit1111111111111111111111111111111111111111111111111111111010001100two's complement
One's complement0000000101110011at 16 bits, every bit flipped
Bits reversed0011000101111111at 16 bits
Rotated left by 11111110100011001at 16 bits, wrapping
Shifted left by 1-1011101000= -744, no wrap
Shifted right by 1-10111010= -186, discarding the low bit
These bits as a double1.8379242 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-372 to the power 2138,384
-372 to the power 3-51,478,848
-372 to the power 419,150,131,456
-372 to the power 5-7,123,848,901,632
First ten multiples-372, -744, -1,116, -1,488, -1,860, -2,232, -2,604, -2,976, -3,348, -3,720
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 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 2
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 72
As a percentage & fraction
As a percentage-37,200%
-372% as a decimal-3.72
-372% of 100-372
-372% of 1,000-3,720
As a fraction of 100-372/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -372
Nerdulate something else
Nothing in mind? Surprise me · today’s page