The number 74340

Q: Is 74340 a prime number?

No. 74340 = 2^2 × 3^2 × 5 × 7 × 59, so it is divisible by 2.

74340 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 7 × 59. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28 … 74340.

Number

Pick any whole number from 1 to 100,000.

74340 = 2^{2} \times 3^{2} \times 5 \times 7 \times 59

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How to work it out

1
What is special about 74340: a Harshad number: divisible by its digit sum 18.
2
74340 is composite. Its prime factorisation is
$74340 = 2^{2} \times 3^{2} \times 5 \times 7 \times 59$
3
The divisors add up to 262080; without 74340 itself that is 187740, so 74340 is abundant (187740 is more than 74340). Euler's totient φ(74340) = 16704 numbers up to 74340 share no factor with it.
4
The digits of 74340 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74340 = 2^{2} \times 3^{2} \times 5 \times 7 \times 59 \]

74340 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	262080
Euler totient φ(n)	16704
Square	5526435600
Cube	410835222504000
Square root	272.653626 (= 6√2065)
Digit sum / digital root	18 / 9
Collatz steps to 1	63
Scientific notation	7.434 × $10^{4}$

74340 in other forms

Form	Value
In words	seventy-four thousand three hundred and forty
Binary (base 2)	10010001001100100
Octal (base 8)	221144
Hexadecimal (base 16)	12264
Base 3	10202222100
As time	74340 seconds = 20 h 39 min 0 s

Is 74340 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74340 ÷ 2 = 37170)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74340 ÷ 3 = 24780)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (74340 ÷ 4 = 18585)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (74340 ÷ 5 = 14868)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74340 ÷ 6 = 12390)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (74340 ÷ 7 = 10620)	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	Yes (74340 ÷ 9 = 8260)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (74340 ÷ 10 = 7434)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (74340 ÷ 12 = 6195)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74340 a prime number?

No. 74340 = $2^{2}$ × $3^{2}$ × 5 × 7 × 59, so it is divisible by 2.

What are the factors of 74340?

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 59, 60, 63, 70, 84, 90, 105, 118, 126, 140, 177, 180, 210, 236, 252, 295, 315, 354, 413, 420, 531, 590, 630, 708, 826, 885, 1062, 1180, 1239, 1260, 1652, 1770, 2065, 2124, 2478, 2655, 3540, 3717, 4130, 4956, 5310, 6195, 7434, 8260, 10620, 12390, 14868, 18585, 24780, 37170, 74340.

What is 74340 in binary?

10010001001100100 (hexadecimal 12264, octal 221144).

What is the square root of 74340?

About 272.6536, exactly 6√2065.

Is 74340 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 74340?

74340 is a Harshad number: divisible by its digit sum 18.