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164,340

164,340 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.).

164,340 (one hundred sixty-four thousand three hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 83. Its proper divisors sum to 386,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x281F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
43,461
Square (n²)
27,007,635,600
Cube (n³)
4,438,434,834,504,000
Divisor count
72
σ(n) — sum of divisors
550,368
φ(n) — Euler's totient
39,360
Sum of prime factors
109

Primality

Prime factorization: 2 2 × 3 2 × 5 × 11 × 83

Nearest primes: 164,321 (−19) · 164,341 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 30 · 33 · 36 · 44 · 45 · 55 · 60 · 66 · 83 · 90 · 99 · 110 · 132 · 165 · 166 · 180 · 198 · 220 · 249 · 330 · 332 · 396 · 415 · 495 · 498 · 660 · 747 · 830 · 913 · 990 · 996 · 1245 · 1494 · 1660 · 1826 · 1980 · 2490 · 2739 · 2988 · 3652 · 3735 · 4565 · 4980 · 5478 · 7470 · 8217 · 9130 · 10956 · 13695 · 14940 · 16434 · 18260 · 27390 · 32868 · 41085 · 54780 · 82170 (half) · 164340
Aliquot sum (sum of proper divisors): 386,028
Factor pairs (a × b = 164,340)
1 × 164340
2 × 82170
3 × 54780
4 × 41085
5 × 32868
6 × 27390
9 × 18260
10 × 16434
11 × 14940
12 × 13695
15 × 10956
18 × 9130
20 × 8217
22 × 7470
30 × 5478
33 × 4980
36 × 4565
44 × 3735
45 × 3652
55 × 2988
60 × 2739
66 × 2490
83 × 1980
90 × 1826
99 × 1660
110 × 1494
132 × 1245
165 × 996
166 × 990
180 × 913
198 × 830
220 × 747
249 × 660
330 × 498
332 × 495
396 × 415
First multiples
164,340 · 328,680 (double) · 493,020 · 657,360 · 821,700 · 986,040 · 1,150,380 · 1,314,720 · 1,479,060 · 1,643,400

Sums & aliquot sequence

As consecutive integers: 54,779 + 54,780 + 54,781 32,866 + 32,867 + 32,868 + 32,869 + 32,870 20,539 + 20,540 + … + 20,546 18,256 + 18,257 + … + 18,264
Aliquot sequence: 164,340 386,028 589,856 571,486 296,834 151,306 75,656 90,214 48,386 29,818 17,594 10,246 5,594 2,800 4,888 5,192 5,608 — unresolved within range

Continued fraction of √n

√164,340 = [405; (2, 1, 1, 2, 1, 15, 1, 4, 1, 2, 4, 2, 1, 1, 2, 1, 4, 50, 2, 6, 23, 90, 23, 6, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand three hundred forty
Ordinal
164340th
Binary
101000000111110100
Octal
500764
Hexadecimal
0x281F4
Base64
AoH0
One's complement
4,294,802,955 (32-bit)
Scientific notation
1.6434 × 10⁵
As a duration
164,340 s = 1 day, 21 hours, 39 minutes
In other bases
ternary (3) 22100102200
quaternary (4) 220013310
quinary (5) 20224330
senary (6) 3304500
septenary (7) 1253061
nonary (9) 270380
undecimal (11) 102520
duodecimal (12) 7b130
tridecimal (13) 59a57
tetradecimal (14) 43c68
pentadecimal (15) 33a60

As an angle

164,340° = 456 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξδτμʹ
Chinese
一十六萬四千三百四十
Chinese (financial)
壹拾陸萬肆仟參佰肆拾
In other modern scripts
Eastern Arabic ١٦٤٣٤٠ Devanagari १६४३४० Bengali ১৬৪৩৪০ Tamil ௧௬௪௩௪௦ Thai ๑๖๔๓๔๐ Tibetan ༡༦༤༣༤༠ Khmer ១៦៤៣៤០ Lao ໑໖໔໓໔໐ Burmese ၁၆၄၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164340, here are decompositions:

  • 19 + 164321 = 164340
  • 31 + 164309 = 164340
  • 41 + 164299 = 164340
  • 61 + 164279 = 164340
  • 73 + 164267 = 164340
  • 89 + 164251 = 164340
  • 101 + 164239 = 164340
  • 107 + 164233 = 164340

Showing the first eight; more decompositions exist.

Unicode codepoint
𨇴
CJK Unified Ideograph-281F4
U+281F4
Other letter (Lo)

UTF-8 encoding: F0 A8 87 B4 (4 bytes).

Hex color
#0281F4
RGB(2, 129, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.244.

Address
0.2.129.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.129.244

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 164,340 and was likely granted around 1874.

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

Position in π

The digit sequence 164340 first appears in π at position 74,068 of the decimal expansion (the 74,068ordinal-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°.