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243107424 = 25327323107
BaseRepresentation
bin11100111110110…
…00011001100000
3121221110010200200
432133120121200
5444213414144
640042345200
76011244000
oct1637303140
9557403620
10243107424
1111525622a
12694bb200
133b49b361
1424404000
1516521c69
hexe7d8660

243107424 has 288 divisors, whose sum is σ = 849139200. Its totient is φ = 65818368.

The previous prime is 243107407. The next prime is 243107437. The reversal of 243107424 is 424701342.

243107424 is digitally balanced in base 2, 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271979 + ... + 2272085.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2243107424 is an apocalyptic number.

243107424 is a gapful number since it is divisible by the number (24) 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 243107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

243107424 is an abundant number, since it is smaller than the sum of its proper divisors (606031776).

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

243107424 is a wasteful number, since it uses less digits than its factorization.

243107424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 243107424 is about 15591.9025138050. The cubic root of 243107424 is about 624.1170884816.

Adding to 243107424 its reverse (424701342), we get a palindrome (667808766).

The spelling of 243107424 in words is "two hundred forty-three million, one hundred seven thousand, four hundred twenty-four".