Search a number
-
+
34254 = 23211173
BaseRepresentation
bin1000010111001110
31201222200
420113032
52044004
6422330
7201603
oct102716
951880
1034254
1123810
12179a6
131278c
14c6aa
15a239
hex85ce

34254 has 24 divisors (see below), whose sum is σ = 81432. Its totient is φ = 10320.

The previous prime is 34253. The next prime is 34259. The reversal of 34254 is 45243.

It is a happy number.

34254 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a d-powerful number, because it can be written as 34 + 44 + 215 + 53 + 45 .

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34254.

It is not an unprimeable number, because it can be changed into a prime (34253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (3393).

234254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40716).

34254 is an abundant number, since it is smaller than the sum of its proper divisors (47178).

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

34254 is a wasteful number, since it uses less digits than its factorization.

34254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 34254 is about 185.0783617822. The cubic root of 34254 is about 32.4765906376.

Adding to 34254 its reverse (45243), we get a palindrome (79497).

The spelling of 34254 in words is "thirty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 5709 11418 17127 34254