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243875268 = 22327131729151
BaseRepresentation
bin11101000100100…
…11110111000100
3121222220010222100
432202103313010
5444413002033
640111032100
76020622420
oct1642236704
9558803870
10243875268
1111573010a
126980b630
133b6a99c0
1424563b80
1516624513
hexe893dc4

243875268 has 288 divisors, whose sum is σ = 836559360. Its totient is φ = 58060800.

The previous prime is 243875227. The next prime is 243875287. The reversal of 243875268 is 862578342.

243875268 is a `hidden beast` number, since 2 + 4 + 387 + 5 + 268 = 666.

243875268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614993 + ... + 1615143.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2243875268 is an apocalyptic number.

243875268 is a gapful number since it is divisible by the number (28) 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 243875268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

243875268 is an abundant number, since it is smaller than the sum of its proper divisors (592684092).

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

243875268 is a wasteful number, since it uses less digits than its factorization.

243875268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 243875268 is about 15616.5062674082. The cubic root of 243875268 is about 624.7734799384.

The spelling of 243875268 in words is "two hundred forty-three million, eight hundred seventy-five thousand, two hundred sixty-eight".