Live analysis

3,400

3,400 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.).

3,400 (three thousand four hundred) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 17. Its proper divisors sum to 4,970, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCD and in binary, 110101001000.

Abundant Number Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,388 3,389 3,390 3,391 3,392 3,393 3,394 3,395 3,396 3,397 3,398 3,399 3,400 3,401 3,402 3,403 3,404 3,405 3,406 3,407 3,408 3,409 3,410 3,411 3,412

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 43
Recamán's sequence: a(15,091) = 3,400
Square (n²): 11,560,000
Cube (n³): 39,304,000,000
Divisor count: 24
σ(n) — sum of divisors: 8,370
φ(n) — Euler's totient: 1,280
Sum of prime factors: 33

Primality

Prime factorization: 2 ³ × 5 ² × 17

Nearest primes: 3,391 (−9) · 3,407 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 25 · 34 · 40 · 50 · 68 · 85 · 100 · 136 · 170 · 200 · 340 · 425 · 680 · 850 · 1700 (half) · 3400

Aliquot sum (sum of proper divisors): 4,970

Factor pairs (a × b = 3,400)

1 × 3400

2 × 1700

4 × 850

5 × 680

8 × 425

10 × 340

17 × 200

20 × 170

25 × 136

34 × 100

40 × 85

50 × 68

First multiples

3,400 · 6,800 (double) · 10,200 · 13,600 · 17,000 · 20,400 · 23,800 · 27,200 · 30,600 · 34,000

Sums & aliquot sequence

As a sum of two squares: 6² + 58² = 22² + 54² = 30² + 50²

As consecutive integers: 678 + 679 + 680 + 681 + 682 205 + 206 + … + 220 192 + 193 + … + 208 124 + 125 + … + 148

Aliquot sequence: 3,400 → 4,970 → 5,398 → 2,702 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,400 = [58; (3, 4, 3, 116)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred
Ordinal: 3400th
Roman numeral: MMMCD
Binary: 110101001000
Octal: 6510
Hexadecimal: 0xD48
Base64: DUg=
One's complement: 62,135 (16-bit)
Scientific notation: 3.4 × 10³
As a duration: 3,400 s = 56 minutes, 40 seconds

In other bases

ternary (3) 11122221

quaternary (4) 311020

quinary (5) 102100

senary (6) 23424

septenary (7) 12625

nonary (9) 4587

undecimal (11) 2611

duodecimal (12) 1b74

tridecimal (13) 1717

tetradecimal (14) 134c

pentadecimal (15) 101a

As an angle

3,400° = 9 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵γυʹ
Mayan (base 20): 𝋨·𝋪·𝋠
Chinese: 三千四百
Chinese (financial): 參仟肆佰

In other modern scripts

Eastern Arabic ٣٤٠٠ Devanagari ३४०० Bengali ৩৪০০ Tamil ௩௪௦௦ Thai ๓๔๐๐ Tibetan ༣༤༠༠ Khmer ៣៤០០ Lao ໓໔໐໐ Burmese ၃၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 3,400 = 1
e — Euler's number (e): Digit 3,400 = 8
φ — Golden ratio (φ): Digit 3,400 = 7
√2 — Pythagoras's (√2): Digit 3,400 = 1
ln 2 — Natural log of 2: Digit 3,400 = 8
γ — Euler-Mascheroni (γ): Digit 3,400 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3400, here are decompositions:

11 + 3389 = 3400
29 + 3371 = 3400
41 + 3359 = 3400
53 + 3347 = 3400
71 + 3329 = 3400
101 + 3299 = 3400
149 + 3251 = 3400
179 + 3221 = 3400

Showing the first eight; more decompositions exist.

Unicode codepoint

ൈ

Malayalam Vowel Sign Ai

U+0D48

Spacing combining mark (Mc)

UTF-8 encoding: E0 B5 88 (3 bytes).

Lookup U+0D48 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D48

RGB(0, 13, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.72.

Address: 0.0.13.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.72

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

Musical pitch

Heard as a frequency, 3,400 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +40¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +41¢)

Position in π

The digit sequence 3400 first appears in π at position 39,086 of the decimal expansion (the 39,086ordinal-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.

Look up 3400 on Pi Search ↗