Search a number
-
+
234 = 23213
BaseRepresentation
bin11101010
322200
43222
51414
61030
7453
oct352
9280
10234
111a3
12176
13150
1412a
15109
hexea

234 has 12 divisors (see below), whose sum is σ = 546. Its totient is φ = 72.

The previous prime is 233. The next prime is 239. The reversal of 234 is 432.

Subtracting from 234 its product of digits (24), we obtain a triangular number (210 = T20).

Adding to 234 its reverse (432), we get a palindrome (666).

It can be divided in two parts, 23 and 4, that added together give a cube (27 = 33).

234 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 225 + 9 = 15^2 + 3^2 .

234 is an admirable number.

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

234 is an undulating number in base 5.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 3, base 4 and base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12 + ... + 24.

It is a practical number, because each smaller number is the sum of distinct divisors of 234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273).

234 is an abundant number, since it is smaller than the sum of its proper divisors (312).

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

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

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

The sum of its prime factors is 21 (or 18 counting only the distinct ones).

The product of its digits is 24, while the sum is 9.

The square root of 234 is about 15.2970585408. The cubic root of 234 is about 6.1622401477.

The spelling of 234 in words is "two hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234