Search a number
-
+
243430000 = 2454112213
BaseRepresentation
bin11101000001001…
…11001001110000
3121222001112011221
432200213021300
5444304230000
640053314424
76014056312
oct1640471160
9558045157
10243430000
11115456620
1269635a14
133b582128
14244897b2
151658761a
hexe827270

243430000 has 100 divisors (see below), whose sum is σ = 643237848. Its totient is φ = 88480000.

The previous prime is 243429971. The next prime is 243430037. The reversal of 243430000 is 34342.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108894 + ... + 111106.

Almost surely, 2243430000 is an apocalyptic number.

243430000 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 243430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321618924).

243430000 is an abundant number, since it is smaller than the sum of its proper divisors (399807848).

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

243430000 is a wasteful number, since it uses less digits than its factorization.

243430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 243430000 is about 15602.2434284304. The cubic root of 243430000 is about 624.3930106932.

Adding to 243430000 its reverse (34342), we get a palindrome (243464342).

The spelling of 243430000 in words is "two hundred forty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2213 2500 2750 4400 4426 5000 5500 6875 8852 10000 11000 11065 13750 17704 22000 22130 24343 27500 35408 44260 48686 55000 55325 88520 97372 110000 110650 121715 177040 194744 221300 243430 276625 389488 442600 486860 553250 608575 885200 973720 1106500 1217150 1383125 1947440 2213000 2434300 2766250 3042875 4426000 4868600 5532500 6085750 9737200 11065000 12171500 15214375 22130000 24343000 30428750 48686000 60857500 121715000 243430000