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27438345 = 355112053
BaseRepresentation
bin110100010101…
…0110100001001
31220122000100000
41220222310021
524011011340
62420033213
7452136114
oct150526411
956560300
1027438345
1114540920
129232809
1358b900c
14390357b
15261ed30
hex1a2ad09

27438345 has 48 divisors (see below), whose sum is σ = 53831232. Its totient is φ = 13296960.

The previous prime is 27438329. The next prime is 27438347. The reversal of 27438345 is 54383472.

It is a happy number.

27438345 is a `hidden beast` number, since 274 + 383 + 4 + 5 = 666.

It is not a de Polignac number, because 27438345 - 24 = 27438329 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27438347) 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 47 ways as a sum of consecutive naturals, for example, 12339 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (1121484).

Almost surely, 227438345 is an apocalyptic number.

It is an amenable number.

27438345 is a deficient number, since it is larger than the sum of its proper divisors (26392887).

27438345 is a wasteful number, since it uses less digits than its factorization.

27438345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2072 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 27438345 is about 5238.1623686175. The cubic root of 27438345 is about 301.6147925550.

It can be divided in two parts, 2 and 7438345, that added together give a palindrome (7438347).

The spelling of 27438345 in words is "twenty-seven million, four hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 2053 2673 4455 6159 10265 13365 18477 22583 30795 55431 67749 92385 112915 166293 203247 277155 338745 498879 609741 831465 1016235 1829223 2494395 3048705 5487669 9146115 27438345