Search a number
-
+
243354144 = 25311230449
BaseRepresentation
bin11101000000101…
…00101000100000
3121221220200010110
432200110220200
5444244313034
640051531320
76013322205
oct1640245040
9557820113
10243354144
11115404630
12695b9b40
133b556747
1424469cac
151656ede9
hexe814a20

243354144 has 48 divisors (see below), whose sum is σ = 696880800. Its totient is φ = 73743360.

The previous prime is 243354131. The next prime is 243354151. The reversal of 243354144 is 441453342.

243354144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114169 + ... + 116280.

It is an arithmetic number, because the mean of its divisors is an integer number (14518350).

Almost surely, 2243354144 is an apocalyptic number.

243354144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243354144 is an abundant number, since it is smaller than the sum of its proper divisors (453526656).

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

243354144 is a wasteful number, since it uses less digits than its factorization.

243354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230473 (or 230465 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 243354144 is about 15599.8123065632. The cubic root of 243354144 is about 624.3281475884.

The spelling of 243354144 in words is "two hundred forty-three million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 230449 460898 691347 921796 1382694 1843592 2534939 2765388 3687184 5069878 5530776 7374368 7604817 10139756 11061552 15209634 20279512 22123104 30419268 40559024 60838536 81118048 121677072 243354144