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The number 60340

60340 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 5 × 7 × 431. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 431, 862, 1724, 2155 … 60340.

Number

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How to work it out

  1. 1

    60340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    60340 is composite. Its prime factorisation is

    60340=22×5×7×43160340 = 2^{2} \times 5 \times 7 \times 431
  3. 3

    The divisors add up to 145152; without 60340 itself that is 84812, so 60340 is abundant (84812 is more than 60340). Euler's totient φ(60340) = 20640 numbers up to 60340 share no factor with it.

  4. 4

    The digits of 60340 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60340 = 2^{2} \times 5 \times 7 \times 431 \]

60340 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors145152
Euler totient φ(n)20640
Square3640915600
Cube219692847304000
Square root245.642016 (= 2√15085)
Digit sum / digital root13 / 4
Collatz steps to 1117
Scientific notation6.034 × 10410^{4}

60340 in other forms

FormValue
In wordssixty thousand three hundred and forty
Binary (base 2)1110101110110100
Octal (base 8)165664
Hexadecimal (base 16)EBB4
Base 310001202211
As time60340 seconds = 16 h 45 min 40 s

Is 60340 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60340 ÷ 2 = 30170)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (60340 ÷ 4 = 15085)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (60340 ÷ 5 = 12068)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (60340 ÷ 7 = 8620)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (60340 ÷ 10 = 6034)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60340 a prime number?

No. 60340 = 222^{2} × 5 × 7 × 431, so it is divisible by 2.

What are the factors of 60340?

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 431, 862, 1724, 2155, 3017, 4310, 6034, 8620, 12068, 15085, 30170, 60340.

What is 60340 in binary?

1110101110110100 (hexadecimal EBB4, octal 165664).

What is the square root of 60340?

About 245.6420, exactly 2√15085.

Is 60340 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 60340?

It is a composite number with 24 divisors.

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