Search a number
-
+
34123254 = 23111015119
BaseRepresentation
bin1000001000101…
…0110111110110
32101012122022020
42002022313312
532213421004
63215214010
7563020464
oct202126766
971178266
1034123254
1118297340
12b517306
1370b9999
144763834
152ee08d9
hex208adf6

34123254 has 32 divisors (see below), whose sum is σ = 75202560. Its totient is φ = 10236000.

The previous prime is 34123247. The next prime is 34123261. The reversal of 34123254 is 45232143.

34123254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34123247) and next prime (34123261).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4107 + ... + 9225.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080).

Almost surely, 234123254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601280).

34123254 is an abundant number, since it is smaller than the sum of its proper divisors (41079306).

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

34123254 is a wasteful number, since it uses less digits than its factorization.

34123254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236.

The product of its digits is 2880, while the sum is 24.

The square root of 34123254 is about 5841.5112770584. The cubic root of 34123254 is about 324.3521738386.

Adding to 34123254 its reverse (45232143), we get a palindrome (79355397).

Subtracting 34123254 from its reverse (45232143), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3412 and 3254, that added together give a palindrome (6666).

The spelling of 34123254 in words is "thirty-four million, one hundred twenty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 5119 6666 10238 15357 30714 56309 112618 168927 337854 517019 1034038 1551057 3102114 5687209 11374418 17061627 34123254