Search a number
-
+
14681034 = 2331941349
BaseRepresentation
bin111000000000…
…001111001010
31000121212121000
4320000033022
512224243114
61242355430
7235533564
oct70001712
930555530
1014681034
118318095
124abbb76
133070404
141d42334
15144ee09
hexe003ca

14681034 has 64 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 4510080.

The previous prime is 14681027. The next prime is 14681063. The reversal of 14681034 is 43018641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14680989 and 14681007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41892 + ... + 42240.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 214681034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14681034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

14681034 is an abundant number, since it is smaller than the sum of its proper divisors (20598966).

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

14681034 is a wasteful number, since it uses less digits than its factorization.

14681034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14681034 is about 3831.5837456592. The cubic root of 14681034 is about 244.8605842938.

Adding to 14681034 its reverse (43018641), we get a palindrome (57699675).

The spelling of 14681034 in words is "fourteen million, six hundred eighty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 349 369 513 698 738 779 1026 1047 1107 1558 2094 2214 2337 3141 4674 6282 6631 7011 9423 13262 14022 14309 18846 19893 21033 28618 39786 42066 42927 59679 85854 119358 128781 179037 257562 271871 358074 386343 543742 772686 815613 1631226 2446839 4893678 7340517 14681034