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1,028,352

1,028,352 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.).

1,028,352 (one million twenty-eight thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 13 × 103. Its proper divisors sum to 1,947,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB100.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
2,538,201
Square (n²)
1,057,507,835,904
Cube (n³)
1,087,490,298,067,550,208
Divisor count
72
σ(n) — sum of divisors
2,976,064
φ(n) — Euler's totient
313,344
Sum of prime factors
135

Primality

Prime factorization: 2 8 × 3 × 13 × 103

Nearest primes: 1,028,333 (−19) · 1,028,389 (+37)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 64 · 78 · 96 · 103 · 104 · 128 · 156 · 192 · 206 · 208 · 256 · 309 · 312 · 384 · 412 · 416 · 618 · 624 · 768 · 824 · 832 · 1236 · 1248 · 1339 · 1648 · 1664 · 2472 · 2496 · 2678 · 3296 · 3328 · 4017 · 4944 · 4992 · 5356 · 6592 · 8034 · 9888 · 9984 · 10712 · 13184 · 16068 · 19776 · 21424 · 26368 · 32136 · 39552 · 42848 · 64272 · 79104 · 85696 · 128544 · 171392 · 257088 · 342784 · 514176 (half) · 1028352
Aliquot sum (sum of proper divisors): 1,947,712
Factor pairs (a × b = 1,028,352)
1 × 1028352
2 × 514176
3 × 342784
4 × 257088
6 × 171392
8 × 128544
12 × 85696
13 × 79104
16 × 64272
24 × 42848
26 × 39552
32 × 32136
39 × 26368
48 × 21424
52 × 19776
64 × 16068
78 × 13184
96 × 10712
103 × 9984
104 × 9888
128 × 8034
156 × 6592
192 × 5356
206 × 4992
208 × 4944
256 × 4017
309 × 3328
312 × 3296
384 × 2678
412 × 2496
416 × 2472
618 × 1664
624 × 1648
768 × 1339
824 × 1248
832 × 1236
First multiples
1,028,352 · 2,056,704 (double) · 3,085,056 · 4,113,408 · 5,141,760 · 6,170,112 · 7,198,464 · 8,226,816 · 9,255,168 · 10,283,520

Sums & aliquot sequence

As consecutive integers: 342,783 + 342,784 + 342,785 79,098 + 79,099 + … + 79,110 26,349 + 26,350 + … + 26,387 9,933 + 9,934 + … + 10,035
Aliquot sequence: 1,028,352 1,947,712 2,216,364 2,987,604 4,823,430 6,752,874 6,752,886 9,181,578 12,107,382 16,923,018 21,991,542 26,599,818 35,846,646 42,364,362 44,367,990 62,115,258 68,563,014 — unresolved within range

Continued fraction of √n

√1,028,352 = [1014; (13, 2028)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million twenty-eight thousand three hundred fifty-two
Ordinal
1028352nd
Binary
11111011000100000000
Octal
3730400
Hexadecimal
0xFB100
Base64
D7EA
One's complement
4,293,938,943 (32-bit)
Scientific notation
1.028352 × 10⁶
As a duration
1,028,352 s = 11 days, 21 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 1221020122010
quaternary (4) 3323010000
quinary (5) 230401402
senary (6) 34012520
septenary (7) 11512053
nonary (9) 1836563
undecimal (11) 642686
duodecimal (12) 417140
tridecimal (13) 2a00c0
tetradecimal (14) 1caa9a
pentadecimal (15) 154a6c

As an angle

1,028,352° = 2,856 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬八千三百五十二
Chinese (financial)
壹佰零貳萬捌仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٢٨٣٥٢ Devanagari १०२८३५२ Bengali ১০২৮৩৫২ Tamil ௧௦௨௮௩௫௨ Thai ๑๐๒๘๓๕๒ Tibetan ༡༠༢༨༣༥༢ Khmer ១០២៨៣៥២ Lao ໑໐໒໘໓໕໒ Burmese ၁၀၂၈၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028352, here are decompositions:

  • 19 + 1028333 = 1028352
  • 23 + 1028329 = 1028352
  • 43 + 1028309 = 1028352
  • 79 + 1028273 = 1028352
  • 89 + 1028263 = 1028352
  • 109 + 1028243 = 1028352
  • 131 + 1028221 = 1028352
  • 139 + 1028213 = 1028352

Showing the first eight; more decompositions exist.

Hex color
#0FB100
RGB(15, 177, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.177.0.

Address
0.15.177.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.177.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 8352 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8352-02-01 (DMMYYYY (Euro, single-digit day))
  • 8352-10-02 (MMDYYYY (US, single-digit day))
  • 8352-02-10 (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 1,028,352 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°.