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243300112 = 241110113687
BaseRepresentation
bin11101000000001…
…11011100010000
3121221210221000021
432200013130100
5444241100422
640050433224
76013005526
oct1640073420
9557727007
10243300112
11115377a80
1269592814
133b537c83
1424454316
151655ddc7
hexe807710

243300112 has 40 divisors (see below), whose sum is σ = 519377472. Its totient is φ = 109488000.

The previous prime is 243300103. The next prime is 243300119. The reversal of 243300112 is 211003342.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (243300119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10933 + ... + 24619.

Almost surely, 2243300112 is an apocalyptic number.

243300112 is a gapful number since it is divisible by the number (22) 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 243300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259688736).

243300112 is an abundant number, since it is smaller than the sum of its proper divisors (276077360).

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

243300112 is a wasteful number, since it uses less digits than its factorization.

243300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 243300112 is about 15598.0803947152. The cubic root of 243300112 is about 624.2819375741.

Adding to 243300112 its reverse (211003342), we get a palindrome (454303454).

The spelling of 243300112 in words is "two hundred forty-three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 13687 17776 27374 54748 109496 150557 218992 301114 602228 1204456 1382387 2408912 2764774 5529548 11059096 15206257 22118192 30412514 60825028 121650056 243300112