The number 3364

No. 3364 = 2^2 × 29^2, so it is divisible by 2.

3364 is a perfect square (58²). Its prime factorisation is $2^{2}$ × $29^{2}$ . Divisors (9): 1, 2, 4, 29, 58, 116, 841, 1682, 3364.

Number

Pick any whole number from 1 to 100,000.

3364 = 2^{2} \times 29^{2}

How to work it out

1
What is special about 3364: a perfect square (58²); a happy number: repeatedly adding the squares of its digits reaches 1.
2
3364 is composite. Its prime factorisation is
$3364 = 2^{2} \times 29^{2}$
3
The divisors add up to 6097; without 3364 itself that is 2733, so 3364 is deficient (2733 is less than 3364). Euler's totient φ(3364) = 1624 numbers up to 3364 share no factor with it.
4
The digits of 3364 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.

LaTeX source of the formulas on this page

\[ 3364 = 2^{2} \times 29^{2} \]

Form	Value
In words	three thousand three hundred and sixty-four
Roman numerals	MMMCCCLXIV
Binary (base 2)	110100100100
Octal (base 8)	6444
Hexadecimal (base 16)	D24
Base 3	11121121
As time	3364 seconds = 56 min 4 s

Divisor	Answer	Rule
2	Yes (3364 ÷ 2 = 1682)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (3364 ÷ 4 = 841)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 3364 a prime number?

No. 3364 = $2^{2}$ × $29^{2}$ , so it is divisible by 2.

What are the factors of 3364?

1, 2, 4, 29, 58, 116, 841, 1682, 3364.

What is 3364 in binary?

110100100100 (hexadecimal D24, octal 6444).

What is the square root of 3364?

58, because 58 × 58 = 3364.

What is 3364 in Roman numerals?

MMMCCCLXIV.

Is 3364 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 3364?

3364 is a perfect square (58²); a happy number: repeatedly adding the squares of its digits reaches 1.