Search a number
-
+
13834458 = 23211107653
BaseRepresentation
bin110100110001…
…100011011010
3222000212022100
4310301203122
512020200313
61212304230
7225406461
oct64614332
928025270
1013834458
11789a040
124772076
132b34c91
141ba19d8
151334173
hexd318da

13834458 has 48 divisors (see below), whose sum is σ = 33055776. Its totient is φ = 4146720.

The previous prime is 13834453. The next prime is 13834459. The reversal of 13834458 is 85443831.

13834458 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13834453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20860 + ... + 21512.

It is an arithmetic number, because the mean of its divisors is an integer number (688662).

Almost surely, 213834458 is an apocalyptic number.

13834458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527888).

13834458 is an abundant number, since it is smaller than the sum of its proper divisors (19221318).

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

13834458 is a wasteful number, since it uses less digits than its factorization.

13834458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 13834458 is about 3719.4701235525. The cubic root of 13834458 is about 240.0605055782.

It can be divided in two parts, 138 and 34458, that added together give a square (34596 = 1862).

The spelling of 13834458 in words is "thirteen million, eight hundred thirty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 653 963 1177 1306 1926 1959 2354 3531 3918 5877 7062 7183 10593 11754 14366 21186 21549 43098 64647 69871 129294 139742 209613 419226 628839 768581 1257678 1537162 2305743 4611486 6917229 13834458