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242303544 = 23327480761
BaseRepresentation
bin11100111000101…
…00001000111000
3121212221021222100
432130110020320
5444012203134
640013223400
76001355220
oct1634241070
9555837870
10242303544
1111485726a
1269191b60
133b2794a2
1424275080
1516413999
hexe714238

242303544 has 48 divisors (see below), whose sum is σ = 749988720. Its totient is φ = 69229440.

The previous prime is 242303519. The next prime is 242303573. The reversal of 242303544 is 445303242.

It is a super-2 number, since 2×2423035442 = 117422014869919872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239877 + ... + 240884.

It is an arithmetic number, because the mean of its divisors is an integer number (15624765).

Almost surely, 2242303544 is an apocalyptic number.

242303544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242303544 is an abundant number, since it is smaller than the sum of its proper divisors (507685176).

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

242303544 is a wasteful number, since it uses less digits than its factorization.

242303544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480780 (or 480773 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242303544 is about 15566.1024023357. The cubic root of 242303544 is about 623.4284090219.

Adding to 242303544 its reverse (445303242), we get a palindrome (687606786).

The spelling of 242303544 in words is "two hundred forty-two million, three hundred three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 480761 961522 1442283 1923044 2884566 3365327 3846088 4326849 5769132 6730654 8653698 10095981 11538264 13461308 17307396 20191962 26922616 30287943 34614792 40383924 60575886 80767848 121151772 242303544