Recognised as Number
-304
- Negative
- Even
- 3 digits
-304 is an even 3-digit integer and the negative of 304. It has 10 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value304
Digit count3
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 19
Distinct prime factors22, 19
Number of divisors10
Sum of divisors σ(n)620
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 19, 38, 76, 152, 30410 in total
Arithmetic
Representations
Decimal-304
Binary1001100009 bits
Octal460
Hexadecimal130
Base 368G
In wordsminus three hundred and four
Ordinalminus three hundred and fourth
Scientific notation-3.04 × 10^2
Engineering notation-304
In other bases
Ternary102021base 3; the most digit-efficient integer base after e: 6 digits
Quinary2204base 5; one hand: 4 digits
Septenary613base 7: 3 digits
Nonary367base 9; each digit is two ternary digits: 3 digits
Duodecimal214base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalf4base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT1T1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011010000
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 44 trailing zeros
Power of twoNo
Bytes201 30
Gray code110101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011010000two's complement
32-bit11111111111111111111111011010000two's complement
64-bit1111111111111111111111111111111111111111111111111111111011010000two's complement
One's complement0000000100101111at 16 bits, every bit flipped
Bits reversed0000101101111111at 16 bits
Rotated left by 11111110110100001at 16 bits, wrapping
Shifted left by 1-1001100000= -608, no wrap
Shifted right by 1-10011000= -152, discarding the low bit
These bits as a double1.50195956 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-304 to the power 292,416
-304 to the power 3-28,094,464
-304 to the power 48,540,717,056
-304 to the power 5-2,596,377,985,024
First ten multiples-304, -608, -912, -1,216, -1,520, -1,824, -2,128, -2,432, -2,736, -3,040
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 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 7
Divisible by 10No, remainder 4
Divisible by 11No, remainder 7
Divisible by 12No, remainder 4
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-30,400%
-304% as a decimal-3.04
-304% of 100-304
-304% of 1,000-3,040
As a fraction of 100-304/100
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