Recognised as Number
-352
- Negative
- Even
- 3 digits
-352 is an even 3-digit integer and the negative of 352. It has 12 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value352
Digit count3
Digit sum10
Digit product30
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 × 2^5 × 11
Distinct prime factors22, 11
Number of divisors12
Sum of divisors σ(n)756
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 35212 in total
Arithmetic
Representations
Decimal-352
Binary1011000009 bits
Octal540
Hexadecimal160
Base 369S
In wordsminus three hundred and fifty-two
Ordinalminus three hundred and fifty-second
Scientific notation-3.52 × 10^2
Engineering notation-352
In other bases
Ternary111001base 3; the most digit-efficient integer base after e: 6 digits
Quinary2402base 5; one hand: 4 digits
Septenary1012base 7: 4 digits
Nonary431base 9; each digit is two ternary digits: 3 digits
Duodecimal254base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalhcbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:52base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTTT00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010100000
Bit length9 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits6within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 55 trailing zeros
Power of twoNo
Bytes201 60
Gray code111010000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010100000two's complement
32-bit11111111111111111111111010100000two's complement
64-bit1111111111111111111111111111111111111111111111111111111010100000two's complement
One's complement0000000101011111at 16 bits, every bit flipped
Bits reversed0000010101111111at 16 bits
Rotated left by 11111110101000001at 16 bits, wrapping
Shifted left by 1-1011000000= -704, no wrap
Shifted right by 1-10110000= -176, discarding the low bit
These bits as a double1.73911107 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-352 to the power 2123,904
-352 to the power 3-43,614,208
-352 to the power 415,352,201,216
-352 to the power 5-5,403,974,828,032
First ten multiples-352, -704, -1,056, -1,408, -1,760, -2,112, -2,464, -2,816, -3,168, -3,520
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10No, remainder 2
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100No, remainder 52
As a percentage & fraction
As a percentage-35,200%
-352% as a decimal-3.52
-352% of 100-352
-352% of 1,000-3,520
As a fraction of 100-352/100
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