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Number

1,340,400

  • Positive
  • Even
  • Composite
  • 7 digits

1,340,400 is an even 7-digit integer and a composite number. It has 60 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,340,400
Digit count7
Digit sum12
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 3 × 5^2 × 1,117
Distinct prime factors42, 3, 5, 1,117
Number of divisors60
Sum of divisors σ(n)4,297,592
Aliquot sum2,957,192sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)357,120integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1,117, 1,200, 2,234, 3,351, 4,468, 5,585, 6,702, 8,936, 11,170, 13,404, 16,755, 17,872, 22,340, 26,808, 27,925, 33,510, 44,680, 53,616, 55,850, 67,020, 83,775, 89,360, 111,700, 134,040, 167,550, 223,400, 268,080, 335,100, 446,800, 670,200, 1,340,40060 in total

Arithmetic

Previous number1,340,399
Next number1,340,401
Double2,680,800
Cube2,408,259,363,264,000,000
Square root1,157.756451073irrational, shown to 9 decimal places
Cube root110.258345942
Negation-1,340,400
Reciprocal7.46045956 × 10^-7

Representations

Decimal1,340,400
Binary10100011100111111000021 bits
Octal5071760
Hexadecimal1473F0
Base 36SQ9C
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, three hundred and forty thousand, four hundred
Ordinalone million, three hundred and forty thousand, four hundredth
Scientific notation1.3404 × 10^6
Engineering notation1.3404 × 10^6

Nearest landmarks

Next prime1,340,401+1
Previous prime1,340,387−13
Distance to nearest prime1
Nearest square below1,338,649
Nearest square above1,340,964

Powers & multiples

1,340,400 to the power 21,796,672,160,000
1,340,400 to the power 32,408,259,363,264,000,000
1,340,400 to the power 43,228,030,850,519,065,600,000,000
1,340,400 to the power 54,326,852,552,035,755,530,240,000,000,000
First ten multiples1,340,400, 2,680,800, 4,021,200, 5,361,600, 6,702,000, 8,042,400, 9,382,800, 10,723,200, 12,063,600, 13,404,000
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 6
Divisible by 12Yes
Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 1186the total stopping time
Highest value reached1,908,5201× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,340,400 → 670,200 → 335,100 → 167,550 → 83,775 → 251,326 → 125,663 → 376,990 → 188,495 → 565,486 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage134,040,000%
1,340,400% as a decimal13,404
1,340,400% of 1001,340,400
1,340,400% of 1,00013,404,000
As a fraction of 1001,340,400/100

Read another way

As bytes1.278 MiB
As a 24-bit colour#1473F0

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Every value on this page was computed from “1340400” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.