348
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 840
- Proper Divisor Sum (Aliquot Sum)
- 492
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 112
- Möbius Function
- 0
- Radical
- 174
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertachtundvierzig· ordinal: dreihundertachtundvierzigste
- English
- three hundred forty-eight· ordinal: three hundred forty-eighth
- Spanish
- trescientos cuarenta y ocho· ordinal: 348º
- French
- trois cent quarante-huit· ordinal: trois cent quarante-huitième
- Italian
- trecentoquarantotto· ordinal: 348º
- Latin
- trecenti quadraginta octo· ordinal: 348.
- Portuguese
- trezentos e quarenta e oito· ordinal: 348º
Appears in sequences
- Number of permutations of [n] in which the longest increasing run has length 2.at n=5A000303
- The convergent sequence C_n for the ternary continued fraction (3,1;2,2) of period 2.at n=9A000964
- Number of n X n symmetric matrices with nonnegative entries and all row sums 2.at n=5A000985
- Number of symmetric foldings of a strip of n blank stamps.at n=13A001010
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=16A001682
- Number of symmetric filaments (strip polyominoes) with n square cells.at n=15A002014
- Related to a highly composite sequence (A002497).at n=17A002498
- Number of basic invariants for cyclic group of order and degree n.at n=10A002956
- The square sieve.at n=31A002960
- Beginnings of periodic unitary aliquot sequences.at n=26A003062
- Cluster series for site percolation problem on square matching lattice (square lattice with 1st and 2nd neighbors connected).at n=4A003201
- Number of planar partitions of n decreasing across rows.at n=12A003293
- Number of trees by stability index.at n=14A003427
- a(n) = n^2 + prime(n).at n=16A004232
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=12A004922
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=12A004942
- Barriers for omega(n): numbers n such that, for all m < n, m + omega(m) <= n.at n=54A005236
- Representation degeneracies for boson strings.at n=21A005291
- Bosonic string states.at n=23A005308
- k in S implies 2k-2, 3k-3 in S.at n=55A005661