### Properties of the number 574:

574 = 2 × 7 × 41 is a sphenic number and squarefree.574 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 240 totatives.

574 is the sum of 2 positive triangular numbers.

574 is the difference of 2 positive pentagonal numbers in 3 ways.

574 = 5

^{2}+ 15

^{2}+ 18

^{2}is the sum of 3 positive squares.

574

^{2}= 126

^{2}+ 560

^{2}is the sum of 2 positive squares in 1 way.

574

^{2}is the sum of 3 positive squares.

574 is a divisor of 83

^{2}- 1.

574 = '57' + '4' is the concatenation of 2 semiprime numbers.

574 is palindromic in (at least) the following bases: 9, 40, 81, -3, -9, and -22.

574 in base 5 = 4244 and consists of only the digits '2' and '4'.

574 in base 9 = 707 and consists of only the digits '0' and '7'.

574 in base 23 = 11m and consists of only the digits '1' and 'm'.

### The number 574 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A002865: Number of partitions of n that do not contain 1 as a part.

A008865: a(n) = n^2 - 2.

A014616: a(n) = solution to the postage stamp problem with 2 denominations and n stamps.

A049450: Pentagonal numbers multiplied by 2: n*(3*n-1).

A144064: Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is Euler transform of (j->k).

A187219: Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1.

A194368: Numbers n such that Sum_{k=1..n} (<1/2 + k*r> - <k*r>) = 0, where r=sqrt(2) and < > denotes fractional part.

A210000: Number of unimodular 2 X 2 matrices having all terms in {0,1,...,n}.

A235227: Numbers whose sum of digits is 16.

A259934: Infinite sequence starting with a(0)=0 such that A049820(a(k)) = a(k-1) for all k>=1, where A049820(n) = n - (number of divisors of n).

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