Recognised as Number
-353
- Negative
- Odd
- 3 digits
-353 is an odd 3-digit integer and the negative of 353. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value353
Digit count3
Digit sum11
Digit product45
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 353
Distinct prime factors1353
Number of divisors2
Sum of divisors σ(n)354
SquarefreeYesno repeated prime factor
All divisors1, 3532 in total
Arithmetic
Representations
Decimal-353
Binary1011000019 bits
Octal541
Hexadecimal161
Base 369T
In wordsminus three hundred and fifty-three
Ordinalminus three hundred and fifty-third
Scientific notation-3.53 × 10^2
Engineering notation-353
In other bases
Ternary111002base 3; the most digit-efficient integer base after e: 6 digits
Quinary2403base 5; one hand: 4 digits
Septenary1013base 7: 4 digits
Nonary432base 9; each digit is two ternary digits: 3 digits
Duodecimal255base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalhdbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:53base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTTT0T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111100011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010011111
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 61
Gray code111010001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010011111two's complement
32-bit11111111111111111111111010011111two's complement
64-bit1111111111111111111111111111111111111111111111111111111010011111two's complement
One's complement0000000101100000at 16 bits, every bit flipped
Bits reversed1111100101111111at 16 bits
Rotated left by 11111110100111111at 16 bits, wrapping
Shifted left by 1-1011000010= -706, no wrap
Shifted right by 1-10110001= -176, discarding the low bit
These bits as a double1.74405173 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-353 to the power 2124,609
-353 to the power 3-43,986,977
-353 to the power 415,527,402,881
-353 to the power 5-5,481,173,216,993
First ten multiples-353, -706, -1,059, -1,412, -1,765, -2,118, -2,471, -2,824, -3,177, -3,530
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11No, remainder 1
Divisible by 12No, remainder 5
Divisible by 100No, remainder 53
As a percentage & fraction
As a percentage-35,300%
-353% as a decimal-3.53
-353% of 100-353
-353% of 1,000-3,530
As a fraction of 100-353/100
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