Recognised as Number
-1,338
- Negative
- Even
- 4 digits
-1,338 is an even 4-digit integer and the negative of 1,338. It has 8 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,338
Digit count4
Digit sum15
Digit product72
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3 × 223
Distinct prime factors32, 3, 223
Number of divisors8
Sum of divisors σ(n)2,688
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 223, 446, 669, 1,3388 in total
Arithmetic
Representations
Decimal-1,338
Binary1010011101011 bits
Octal2472
Hexadecimal53A
Base 36116
In wordsminus one thousand, three hundred and thirty-eight
Ordinalminus one thousand, three hundred and thirty-eighth
Scientific notation-1.338 × 10^3
Engineering notation-1.338 × 10^3
In other bases
Ternary1211120base 3; the most digit-efficient integer base after e: 7 digits
Quinary20323base 5; one hand: 5 digits
Septenary3621base 7: 4 digits
Nonary1746base 9; each digit is two ternary digits: 4 digits
Duodecimal936base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal36ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:18base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1011110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111011010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101011000110
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 3a
Gray code11110100111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101011000110two's complement
32-bit11111111111111111111101011000110two's complement
64-bit1111111111111111111111111111111111111111111111111111101011000110two's complement
One's complement0000010100111001at 16 bits, every bit flipped
Bits reversed0110001101011111at 16 bits
Rotated left by 11111010110001101at 16 bits, wrapping
Shifted left by 1-101001110100= -2,676, no wrap
Shifted right by 1-1010011101= -669, discarding the low bit
These bits as a double6.61059834 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,338 to the power 21,790,244
-1,338 to the power 3-2,395,346,472
-1,338 to the power 43,204,973,579,536
-1,338 to the power 5-4,288,254,649,419,168
First ten multiples-1,338, -2,676, -4,014, -5,352, -6,690, -8,028, -9,366, -10,704, -12,042, -13,380
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 2
Divisible by 9No, remainder 6
Divisible by 10No, remainder 8
Divisible by 11No, remainder 7
Divisible by 12No, remainder 6
Divisible by 100No, remainder 38
As a percentage & fraction
As a percentage-133,800%
-1,338% as a decimal-13.38
-1,338% of 100-1,338
-1,338% of 1,000-13,380
As a fraction of 100-1,338/100
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