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27385345 = 513421313
BaseRepresentation
bin110100001110…
…1111000000001
31220112022122001
41220131320001
524002312340
62414544001
7451525441
oct150357001
956468561
1027385345
1114505019
129208001
13589ab60
1438cc121
15260e29a
hex1a1de01

27385345 has 8 divisors (see below), whose sum is σ = 35390376. Its totient is φ = 20222976.

The previous prime is 27385301. The next prime is 27385361. The reversal of 27385345 is 54358372.

It can be written as a sum of positive squares in 4 ways, for example, as 4946176 + 22439169 = 2224^2 + 4737^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27385345 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 210592 + ... + 210721.

It is an arithmetic number, because the mean of its divisors is an integer number (4423797).

Almost surely, 227385345 is an apocalyptic number.

It is an amenable number.

27385345 is a deficient number, since it is larger than the sum of its proper divisors (8005031).

27385345 is a wasteful number, since it uses less digits than its factorization.

27385345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421331.

The product of its digits is 100800, while the sum is 37.

The square root of 27385345 is about 5233.1008971737. The cubic root of 27385345 is about 301.4204673303.

It can be divided in two parts, 27385 and 345, that added together give a triangular number (27730 = T235).

The spelling of 27385345 in words is "twenty-seven million, three hundred eighty-five thousand, three hundred forty-five".

Divisors: 1 5 13 65 421313 2106565 5477069 27385345