Recognised as Number
-3,320
- Negative
- Even
- 4 digits
-3,320 is an even 4-digit integer and the negative of 3,320. It has 16 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value3,320
Digit count4
Digit sum8
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 5 × 83
Distinct prime factors32, 5, 83
Number of divisors16
Sum of divisors σ(n)7,560
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1,660, 3,32016 in total
Arithmetic
Previous number-3,321
Next number-3,319
Double-6,640
Half-1,660
Square11,022,400
Cube-36,594,368,000
Cube root-14.918071852≈
Negation3,320
Reciprocal-0.0003012048≈
Representations
Decimal-3,320
Binary11001111100012 bits
Octal6370
HexadecimalCF8
Base 362K8
In wordsminus three thousand, three hundred and twenty
Ordinalminus three thousand, three hundred and twentieth
Scientific notation-3.32 × 10^3
Engineering notation-3.32 × 10^3
In other bases
Ternary11112222base 3; the most digit-efficient integer base after e: 8 digits
Quinary101240base 5; one hand: 6 digits
Septenary12452base 7: 5 digits
Nonary4488base 9; each digit is two ternary digits: 4 digits
Duodecimal1b08base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal860base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal55:20base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11110001digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011100011000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111001100001000
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes20c f8
Gray code101010000100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111001100001000two's complement
32-bit11111111111111111111001100001000two's complement
64-bit1111111111111111111111111111111111111111111111111111001100001000two's complement
One's complement0000110011110111at 16 bits, every bit flipped
Bits reversed0001000011001111at 16 bits
Rotated left by 11110011000010001at 16 bits, wrapping
Shifted left by 1-1100111110000= -6,640, no wrap
Shifted right by 1-11001111100= -1,660, discarding the low bit
These bits as a double1.64029794 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-3,320 to the power 211,022,400
-3,320 to the power 3-36,594,368,000
-3,320 to the power 4121,493,301,760,000
-3,320 to the power 5-403,357,761,843,200,000
First ten multiples-3,320, -6,640, -9,960, -13,280, -16,600, -19,920, -23,240, -26,560, -29,880, -33,200
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 8
Divisible by 100No, remainder 20
As a percentage & fraction
As a percentage-332,000%
-3,320% as a decimal-33.2
-3,320% of 100-3,320
-3,320% of 1,000-33,200
As a fraction of 100-3,320/100
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