Search a number
-
+
241341200 = 24523119463
BaseRepresentation
bin11100110001010…
…01001100010000
3121211010101212222
432120221030100
5443240404300
635540440212
75660236442
oct1630511420
9554111788
10241341200
1111425a241
12689a9068
133b000459
14240a4492
15162c3785
hexe629310

241341200 has 60 divisors (see below), whose sum is σ = 598556928. Its totient is φ = 93417600.

The previous prime is 241341187. The next prime is 241341227. The reversal of 241341200 is 2143142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2669 + ... + 22131.

Almost surely, 2241341200 is an apocalyptic number.

241341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299278464).

241341200 is an abundant number, since it is smaller than the sum of its proper divisors (357215728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241341200 is a wasteful number, since it uses less digits than its factorization.

241341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 241341200 is about 15535.1601214793. The cubic root of 241341200 is about 622.6019682105.

Adding to 241341200 its reverse (2143142), we get a palindrome (243484342).

The spelling of 241341200 in words is "two hundred forty-one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 19463 38926 77852 97315 155704 194630 311408 389260 486575 603353 778520 973150 1206706 1557040 1946300 2413412 3016765 3892600 4826824 6033530 7785200 9653648 12067060 15083825 24134120 30167650 48268240 60335300 120670600 241341200