Search a number
-
+
34180014 = 23111134583
BaseRepresentation
bin1000001001100…
…0101110101110
32101022112011110
42002120232232
532222230024
63220332450
7563345121
oct202305656
971275143
1034180014
1118325a50
12b544126
13710977b
14477a3b8
153002629
hex2098bae

34180014 has 32 divisors (see below), whose sum is σ = 75250944. Its totient is φ = 10263680.

The previous prime is 34180007. The next prime is 34180033. The reversal of 34180014 is 41008143.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 9749.

It is an arithmetic number, because the mean of its divisors is an integer number (2351592).

Almost surely, 234180014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34180014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37625472).

34180014 is an abundant number, since it is smaller than the sum of its proper divisors (41070930).

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

34180014 is a wasteful number, since it uses less digits than its factorization.

34180014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34180014 is about 5846.3675902222. The cubic root of 34180014 is about 324.5319147182.

Adding to 34180014 its reverse (41008143), we get a palindrome (75188157).

The spelling of 34180014 in words is "thirty-four million, one hundred eighty thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 678 1243 2486 3729 4583 7458 9166 13749 27498 50413 100826 151239 302478 517879 1035758 1553637 3107274 5696669 11393338 17090007 34180014