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27234 = 2321789
BaseRepresentation
bin110101001100010
31101100200
412221202
51332414
6330030
7142254
oct65142
941320
1027234
1119509
1213916
13c51c
149cd4
158109
hex6a62

27234 has 24 divisors (see below), whose sum is σ = 63180. Its totient is φ = 8448.

The previous prime is 27211. The next prime is 27239. The reversal of 27234 is 43272.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 9 = 165^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 27 + 73 + 213 + 37 + 47 .

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 (27239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 350.

227234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590).

27234 is an abundant number, since it is smaller than the sum of its proper divisors (35946).

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

27234 is a wasteful number, since it uses less digits than its factorization.

27234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 27234 is about 165.0272704737. The cubic root of 27234 is about 30.0864174949.

The spelling of 27234 in words is "twenty-seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 4539 9078 13617 27234