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1,044,400

1,044,400 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.).

1,044,400 (one million forty-four thousand four hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 373. Its proper divisors sum to 1,830,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFEFB0.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
44,401
Square (n²)
1,090,771,360,000
Cube (n³)
1,139,201,608,384,000,000
Divisor count
60
σ(n) — sum of divisors
2,875,312
φ(n) — Euler's totient
357,120
Sum of prime factors
398

Primality

Prime factorization: 2 4 × 5 2 × 7 × 373

Nearest primes: 1,044,397 (−3) · 1,044,409 (+9)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 140 · 175 · 200 · 280 · 350 · 373 · 400 · 560 · 700 · 746 · 1400 · 1492 · 1865 · 2611 · 2800 · 2984 · 3730 · 5222 · 5968 · 7460 · 9325 · 10444 · 13055 · 14920 · 18650 · 20888 · 26110 · 29840 · 37300 · 41776 · 52220 · 65275 · 74600 · 104440 · 130550 · 149200 · 208880 · 261100 · 522200 (half) · 1044400
Aliquot sum (sum of proper divisors): 1,830,912
Factor pairs (a × b = 1,044,400)
1 × 1044400
2 × 522200
4 × 261100
5 × 208880
7 × 149200
8 × 130550
10 × 104440
14 × 74600
16 × 65275
20 × 52220
25 × 41776
28 × 37300
35 × 29840
40 × 26110
50 × 20888
56 × 18650
70 × 14920
80 × 13055
100 × 10444
112 × 9325
140 × 7460
175 × 5968
200 × 5222
280 × 3730
350 × 2984
373 × 2800
400 × 2611
560 × 1865
700 × 1492
746 × 1400
First multiples
1,044,400 · 2,088,800 (double) · 3,133,200 · 4,177,600 · 5,222,000 · 6,266,400 · 7,310,800 · 8,355,200 · 9,399,600 · 10,444,000

Sums & aliquot sequence

As consecutive integers: 208,878 + 208,879 + 208,880 + 208,881 + 208,882 149,197 + 149,198 + … + 149,203 41,764 + 41,765 + … + 41,788 32,622 + 32,623 + … + 32,653
Aliquot sequence: 1,044,400 1,830,912 3,083,688 5,268,162 5,325,630 7,544,514 7,585,566 7,585,578 14,533,974 26,350,506 43,921,878 76,844,586 112,312,662 167,740,842 171,783,798 172,370,298 172,370,310 — unresolved within range

Continued fraction of √n

√1,044,400 = [1021; (1, 23, 3, 226, 1, 3, 2, 2, 3, 1, 6, 25, 11, 1, 1, 1, 3, 2, 6, 2, 1, 2, 8, 3, …)]

Representations

In words
one million forty-four thousand four hundred
Ordinal
1044400th
Binary
11111110111110110000
Octal
3767660
Hexadecimal
0xFEFB0
Base64
D++w
One's complement
4,293,922,895 (32-bit)
Scientific notation
1.0444 × 10⁶
As a duration
1,044,400 s = 12 days, 2 hours, 6 minutes, 40 seconds
In other bases
ternary (3) 1222001122111
quaternary (4) 3332332300
quinary (5) 231410100
senary (6) 34215104
septenary (7) 11606620
nonary (9) 1861574
undecimal (11) 653745
duodecimal (12) 424494
tridecimal (13) 2a74b6
tetradecimal (14) 1d2880
pentadecimal (15) 1596ba

As an angle

1,044,400° = 2,901 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese
一百零四萬四千四百
Chinese (financial)
壹佰零肆萬肆仟肆佰
In other modern scripts
Eastern Arabic ١٠٤٤٤٠٠ Devanagari १०४४४०० Bengali ১০৪৪৪০০ Tamil ௧௦௪௪௪௦௦ Thai ๑๐๔๔๔๐๐ Tibetan ༡༠༤༤༤༠༠ Khmer ១០៤៤៤០០ Lao ໑໐໔໔໔໐໐ Burmese ၁၀၄၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1044400, here are decompositions:

  • 3 + 1044397 = 1044400
  • 17 + 1044383 = 1044400
  • 29 + 1044371 = 1044400
  • 47 + 1044353 = 1044400
  • 53 + 1044347 = 1044400
  • 101 + 1044299 = 1044400
  • 113 + 1044287 = 1044400
  • 173 + 1044227 = 1044400

Showing the first eight; more decompositions exist.

Hex color
#0FEFB0
RGB(15, 239, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.239.176.

Address
0.15.239.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.239.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 4400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4400-04-01 (DMMYYYY (Euro, single-digit day))
  • 4400-10-04 (MMDYYYY (US, single-digit day))
  • 4400-04-10 (DDMYYYY (Euro, single-digit month))
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 1,044,400 and was likely granted around 1912.

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

Related reading

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