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14338740 = 22351331593
BaseRepresentation
bin110110101100…
…101010110100
3222222111001110
4312230222310
512132314430
61231155020
7232606623
oct66545264
928874043
1014338740
1181039a9
124975a70
132c80680
141c936ba
1513d37b0
hexdacab4

14338740 has 96 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 3409920.

The previous prime is 14338703. The next prime is 14338747. The reversal of 14338740 is 4783341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14338698 and 14338707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14338747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23884 + ... + 24476.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 214338740 is an apocalyptic number.

14338740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14338740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

14338740 is an abundant number, since it is smaller than the sum of its proper divisors (30368076).

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

14338740 is a wasteful number, since it uses less digits than its factorization.

14338740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14338740 is about 3786.6528755617. The cubic root of 14338740 is about 242.9425934267.

It can be divided in two parts, 143 and 38740, that added together give a palindrome (38883).

The spelling of 14338740 in words is "fourteen million, three hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 593 620 780 806 930 1186 1209 1612 1779 1860 2015 2372 2418 2965 3558 4030 4836 5930 6045 7116 7709 8060 8895 11860 12090 15418 17790 18383 23127 24180 30836 35580 36766 38545 46254 55149 73532 77090 91915 92508 110298 115635 154180 183830 220596 231270 238979 275745 367660 462540 477958 551490 716937 955916 1102980 1194895 1433874 2389790 2867748 3584685 4779580 7169370 14338740