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The number 34349

34349 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 701. Divisors (6): 1, 7, 49, 701, 4907, 34349.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    34349 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

    34349 is composite. Its prime factorisation is

    34349=72Ɨ70134349 = 7^{2} \times 701
  3. 3

    The divisors add up to 40014; without 34349 itself that is 5665, so 34349 is deficient (5665 is less than 34349). Euler's totient φ(34349) = 29400 numbers up to 34349 share no factor with it.

  4. 4

    The digits of 34349 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.

LaTeX source of the formulas on this page
\[ 34349 = 7^{2} \times 701 \]

34349 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors40014
Euler totient φ(n)29400
Square1179853801
Cube40526798210549
Square root185.334832 (= 7√701)
Digit sum / digital root23 / 5
Collatz steps to 1129
Scientific notation3.4349 Ɨ 10410^{4}

34349 in other forms

FormValue
In wordsthirty-four thousand three hundred and forty-nine
Binary (base 2)1000011000101101
Octal (base 8)103055
Hexadecimal (base 16)862D
Base 31202010012
As time34349 seconds = 9 h 32 min 29 s

Is 34349 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (34349 Ć· 7 = 4907)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 34349 a prime number?

No. 34349 = 727^{2} Ɨ 701, so it is divisible by 7.

What are the factors of 34349?

1, 7, 49, 701, 4907, 34349.

What is 34349 in binary?

1000011000101101 (hexadecimal 862D, octal 103055).

What is the square root of 34349?

About 185.3348, exactly 7√701.

Is 34349 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 34349?

It is a composite number with 6 divisors.

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    34349: is it prime? Factors, square root, binary, Roman numeral | WordGPT