Recognised as Number
-1,342
- Negative
- Even
- 4 digits
-1,342 is an even 4-digit integer and the negative of 1,342. It has 8 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,342
Digit count4
Digit sum10
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 11 × 61
Distinct prime factors32, 11, 61
Number of divisors8
Sum of divisors σ(n)2,232
SquarefreeYesno repeated prime factor
All divisors1, 2, 11, 22, 61, 122, 671, 1,3428 in total
Arithmetic
Representations
Decimal-1,342
Binary1010011111011 bits
Octal2476
Hexadecimal53E
Base 3611A
In wordsminus one thousand, three hundred and forty-two
Ordinalminus one thousand, three hundred and forty-second
Scientific notation-1.342 × 10^3
Engineering notation-1.342 × 10^3
In other bases
Ternary1211201base 3; the most digit-efficient integer base after e: 7 digits
Quinary20332base 5; one hand: 5 digits
Septenary3625base 7: 4 digits
Nonary1751base 9; each digit is two ternary digits: 4 digits
Duodecimal93abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal372base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:22base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT101110Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111000110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101011000010
Bit length11 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits4within that length
Bit parityodd7 set bits, so odd; 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 3e
Gray code11110100001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101011000010two's complement
32-bit11111111111111111111101011000010two's complement
64-bit1111111111111111111111111111111111111111111111111111101011000010two's complement
One's complement0000010100111101at 16 bits, every bit flipped
Bits reversed0100001101011111at 16 bits
Rotated left by 11111010110000101at 16 bits, wrapping
Shifted left by 1-101001111100= -2,684, no wrap
Shifted right by 1-1010011111= -671, discarding the low bit
These bits as a double6.63036097 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,342 to the power 21,800,964
-1,342 to the power 3-2,416,893,688
-1,342 to the power 43,243,471,329,296
-1,342 to the power 5-4,352,738,523,915,232
First ten multiples-1,342, -2,684, -4,026, -5,368, -6,710, -8,052, -9,394, -10,736, -12,078, -13,420
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 1
Divisible by 10No, remainder 2
Divisible by 11Yes
Divisible by 12No, remainder 10
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-134,200%
-1,342% as a decimal-13.42
-1,342% of 100-1,342
-1,342% of 1,000-13,420
As a fraction of 100-1,342/100
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