Recognised as Number
-351
- Negative
- Odd
- 3 digits
-351 is an odd 3-digit integer and the negative of 351. It has 8 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value351
Digit count3
Digit sum9
Digit product15
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3^3 × 13
Distinct prime factors23, 13
Number of divisors8
Sum of divisors σ(n)560
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 13, 27, 39, 117, 3518 in total
Arithmetic
Representations
Decimal-351
Binary1010111119 bits
Octal537
Hexadecimal15F
Base 369R
In wordsminus three hundred and fifty-one
Ordinalminus three hundred and fifty-first
Scientific notation-3.51 × 10^2
Engineering notation-351
In other bases
Ternary111000base 3; the most digit-efficient integer base after e: 6 digits
Quinary2401base 5; one hand: 4 digits
Septenary1011base 7: 4 digits
Nonary430base 9; each digit is two ternary digits: 3 digits
Duodecimal253base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalhbbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:51base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTTT000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010100001
Bit length9 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits2within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 5f
Gray code111110000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010100001two's complement
32-bit11111111111111111111111010100001two's complement
64-bit1111111111111111111111111111111111111111111111111111111010100001two's complement
One's complement0000000101011110at 16 bits, every bit flipped
Bits reversed1000010101111111at 16 bits
Rotated left by 11111110101000011at 16 bits, wrapping
Shifted left by 1-1010111110= -702, no wrap
Shifted right by 1-10110000= -175, discarding the low bit
These bits as a double1.73417042 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-351 to the power 2123,201
-351 to the power 3-43,243,551
-351 to the power 415,178,486,401
-351 to the power 5-5,327,648,726,751
First ten multiples-351, -702, -1,053, -1,404, -1,755, -2,106, -2,457, -2,808, -3,159, -3,510
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 7
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 10
Divisible by 12No, remainder 3
Divisible by 100No, remainder 51
As a percentage & fraction
As a percentage-35,100%
-351% as a decimal-3.51
-351% of 100-351
-351% of 1,000-3,510
As a fraction of 100-351/100
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