Recognised as Number
-3,484
- Negative
- Even
- 4 digits
-3,484 is an even 4-digit integer and the negative of 3,484. It has 12 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value3,484
Digit count4
Digit sum19
Digit product384
Multiplicative persistence5times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 13 × 67
Distinct prime factors32, 13, 67
Number of divisors12
Sum of divisors σ(n)6,664
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1,742, 3,48412 in total
Arithmetic
Previous number-3,485
Next number-3,483
Double-6,968
Half-1,742
Square12,138,256
Cube-42,289,683,904
Cube root-15.159773599≈
Negation3,484
Reciprocal-0.0002870264≈
Representations
Decimal-3,484
Binary11011001110012 bits
Octal6634
HexadecimalD9C
Base 362OS
In wordsminus three thousand, four hundred and eighty-four
Ordinalminus three thousand, four hundred and eighty-fourth
Scientific notation-3.484 × 10^3
Engineering notation-3.484 × 10^3
In other bases
Ternary11210001base 3; the most digit-efficient integer base after e: 8 digits
Quinary102414base 5; one hand: 6 digits
Septenary13105base 7: 5 digits
Nonary4701base 9; each digit is two ternary digits: 4 digits
Duodecimal2024base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal8e4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal58:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111T000Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011110100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111001001100100
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 22 trailing zeros
Power of twoNo
Bytes20d 9c
Gray code101101010010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111001001100100two's complement
32-bit11111111111111111111001001100100two's complement
64-bit1111111111111111111111111111111111111111111111111111001001100100two's complement
One's complement0000110110011011at 16 bits, every bit flipped
Bits reversed0010011001001111at 16 bits
Rotated left by 11110010011001001at 16 bits, wrapping
Shifted left by 1-1101100111000= -6,968, no wrap
Shifted right by 1-11011001110= -1,742, discarding the low bit
These bits as a double1.72132471 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-3,484 to the power 212,138,256
-3,484 to the power 3-42,289,683,904
-3,484 to the power 4147,337,258,721,536
-3,484 to the power 5-513,323,009,385,831,424
First ten multiples-3,484, -6,968, -10,452, -13,936, -17,420, -20,904, -24,388, -27,872, -31,356, -34,840
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 1
Divisible by 10No, remainder 4
Divisible by 11No, remainder 8
Divisible by 12No, remainder 4
Divisible by 100No, remainder 84
As a percentage & fraction
As a percentage-348,400%
-3,484% as a decimal-34.84
-3,484% of 100-3,484
-3,484% of 1,000-34,840
As a fraction of 100-3,484/100
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