Search a number
-
+
243424100 = 22526733617
BaseRepresentation
bin11101000001001…
…01101101100100
3121222001020002102
432200211231210
5444304032400
640053231232
76014033153
oct1640455544
9558036072
10243424100
11115452147
1269632518
133b57c53a
142448759a
15165859d5
hexe825b64

243424100 has 36 divisors (see below), whose sum is σ = 529161444. Its totient is φ = 97198080.

The previous prime is 243424091. The next prime is 243424133. The reversal of 243424100 is 1424342.

It can be written as a sum of positive squares in 6 ways, for example, as 74787904 + 168636196 = 8648^2 + 12986^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65492 + ... + 69108.

It is an arithmetic number, because the mean of its divisors is an integer number (14698929).

Almost surely, 2243424100 is an apocalyptic number.

243424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243424100 is an abundant number, since it is smaller than the sum of its proper divisors (285737344).

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

243424100 is a wasteful number, since it uses less digits than its factorization.

243424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 243424100 is about 15602.0543519115. The cubic root of 243424100 is about 624.3879661924.

Adding to 243424100 its reverse (1424342), we get a palindrome (244848442).

The spelling of 243424100 in words is "two hundred forty-three million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 673 1346 2692 3365 3617 6730 7234 13460 14468 16825 18085 33650 36170 67300 72340 90425 180850 361700 2434241 4868482 9736964 12171205 24342410 48684820 60856025 121712050 243424100