Search a number
-
+
243001000 = 23531122091
BaseRepresentation
bin11100111101111…
…10011010101000
3121221020201201001
432132332122220
5444202013000
640040204344
76010321504
oct1636763250
9557221631
10243001000
11115193280
12694696b4
133b461a98
14243b7304
151650046a
hexe7be6a8

243001000 has 64 divisors (see below), whose sum is σ = 620343360. Its totient is φ = 88360000.

The previous prime is 243000983. The next prime is 243001019. The reversal of 243001000 is 100342.

243001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 22045.

It is an arithmetic number, because the mean of its divisors is an integer number (9692865).

Almost surely, 2243001000 is an apocalyptic number.

243001000 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 243001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310171680).

243001000 is an abundant number, since it is smaller than the sum of its proper divisors (377342360).

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

243001000 is a wasteful number, since it uses less digits than its factorization.

243001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22123 (or 22109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 243001000 is about 15588.4893431019. The cubic root of 243001000 is about 624.0260029160.

Adding to 243001000 its reverse (100342), we get a palindrome (243101342).

The spelling of 243001000 in words is "two hundred forty-three million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 22091 44182 88364 110455 176728 220910 243001 441820 486002 552275 883640 972004 1104550 1215005 1944008 2209100 2430010 2761375 4418200 4860020 5522750 6075025 9720040 11045500 12150050 22091000 24300100 30375125 48600200 60750250 121500500 243001000