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27424000306 = 258549234197
BaseRepresentation
bin11001100010100110…
…010000100100110010
32121210020002120010001
4121202212100210302
5422131021002211
620333131300214
71660410104443
oct314246204462
977706076101
1027424000306
11106a315136a
1253942aa66a
1327807a6321
1414822932ca
15aa78d9ac1
hex662990932

27424000306 has 8 divisors (see below), whose sum is σ = 41136878700. Its totient is φ = 13711707408.

The previous prime is 27424000259. The next prime is 27424000319. The reversal of 27424000306 is 60300042472.

27424000306 is a nontrivial binomial coefficient, being equal to C(234197, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 25285770225 + 2138230081 = 159015^2 + 46241^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 234196.

Almost surely, 227424000306 is an apocalyptic number.

27424000306 is the 234196-th triangular number.

27424000306 is the 78066-th centered nonagonal number.

27424000306 is a deficient number, since it is larger than the sum of its proper divisors (13712878394).

27424000306 is a wasteful number, since it uses less digits than its factorization.

27424000306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292748.

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 27424000306 its reverse (60300042472), we get a palindrome (87724042778).

The spelling of 27424000306 in words is "twenty-seven billion, four hundred twenty-four million, three hundred six", and thus it is an aban number.

Divisors: 1 2 58549 117098 234197 468394 13712000153 27424000306