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494,400

494,400 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

494,400 (four hundred ninety-four thousand four hundred) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5² × 103. Its proper divisors sum to 1,143,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78B40.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
4,494
Recamán's sequence
a(150,480) = 494,400
Square (n²)
244,431,360,000
Cube (n³)
120,846,864,384,000,000
Divisor count
84
σ(n) — sum of divisors
1,637,792
φ(n) — Euler's totient
130,560
Sum of prime factors
128

Primality

Prime factorization: 2 6 × 3 × 5 2 × 103

Nearest primes: 494,387 (−13) · 494,407 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 103 · 120 · 150 · 160 · 192 · 200 · 206 · 240 · 300 · 309 · 320 · 400 · 412 · 480 · 515 · 600 · 618 · 800 · 824 · 960 · 1030 · 1200 · 1236 · 1545 · 1600 · 1648 · 2060 · 2400 · 2472 · 2575 · 3090 · 3296 · 4120 · 4800 · 4944 · 5150 · 6180 · 6592 · 7725 · 8240 · 9888 · 10300 · 12360 · 15450 · 16480 · 19776 · 20600 · 24720 · 30900 · 32960 · 41200 · 49440 · 61800 · 82400 · 98880 · 123600 · 164800 · 247200 (half) · 494400
Aliquot sum (sum of proper divisors): 1,143,392
Factor pairs (a × b = 494,400)
1 × 494400
2 × 247200
3 × 164800
4 × 123600
5 × 98880
6 × 82400
8 × 61800
10 × 49440
12 × 41200
15 × 32960
16 × 30900
20 × 24720
24 × 20600
25 × 19776
30 × 16480
32 × 15450
40 × 12360
48 × 10300
50 × 9888
60 × 8240
64 × 7725
75 × 6592
80 × 6180
96 × 5150
100 × 4944
103 × 4800
120 × 4120
150 × 3296
160 × 3090
192 × 2575
200 × 2472
206 × 2400
240 × 2060
300 × 1648
309 × 1600
320 × 1545
400 × 1236
412 × 1200
480 × 1030
515 × 960
600 × 824
618 × 800
First multiples
494,400 · 988,800 (double) · 1,483,200 · 1,977,600 · 2,472,000 · 2,966,400 · 3,460,800 · 3,955,200 · 4,449,600 · 4,944,000

Sums & aliquot sequence

As consecutive integers: 164,799 + 164,800 + 164,801 98,878 + 98,879 + 98,880 + 98,881 + 98,882 32,953 + 32,954 + … + 32,967 19,764 + 19,765 + … + 19,788
Aliquot sequence: 494,400 1,143,392 1,107,724 838,220 922,084 747,416 654,004 578,640 1,215,888 1,977,360 5,736,432 10,825,008 17,409,792 28,927,688 25,311,742 15,104,018 7,715,422 — unresolved within range

Continued fraction of √n

√494,400 = [703; (7, 2, 1, 3, 4, 1, 2, 7, 1, 27, 1, 4, 1, 1, 8, 2, 7, 1, 1, 13, 1, 1, 7, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-four thousand four hundred
Ordinal
494400th
Binary
1111000101101000000
Octal
1705500
Hexadecimal
0x78B40
Base64
B4tA
One's complement
4,294,472,895 (32-bit)
Scientific notation
4.944 × 10⁵
As a duration
494,400 s = 5 days, 17 hours, 20 minutes
In other bases
ternary (3) 221010012010
quaternary (4) 1320231000
quinary (5) 111310100
senary (6) 14332520
septenary (7) 4126254
nonary (9) 833163
undecimal (11) 3084a5
duodecimal (12) 1ba140
tridecimal (13) 14405a
tetradecimal (14) cc264
pentadecimal (15) 9b750

As an angle

494,400° = 1,373 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵υϟδυʹ
Chinese
四十九萬四千四百
Chinese (financial)
肆拾玖萬肆仟肆佰
In other modern scripts
Eastern Arabic ٤٩٤٤٠٠ Devanagari ४९४४०० Bengali ৪৯৪৪০০ Tamil ௪௯௪௪௦௦ Thai ๔๙๔๔๐๐ Tibetan ༤༩༤༤༠༠ Khmer ៤៩៤៤០០ Lao ໔໙໔໔໐໐ Burmese ၄၉၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 494400, here are decompositions:

  • 13 + 494387 = 494400
  • 17 + 494383 = 494400
  • 19 + 494381 = 494400
  • 31 + 494369 = 494400
  • 41 + 494359 = 494400
  • 47 + 494353 = 494400
  • 59 + 494341 = 494400
  • 73 + 494327 = 494400

Showing the first eight; more decompositions exist.

Hex color
#078B40
RGB(7, 139, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.139.64.

Address
0.7.139.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.139.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 494,400 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 494400 first appears in π at position 32,565 of the decimal expansion (the 32,565ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.