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14431400 = 2352591223
BaseRepresentation
bin110111000011…
…010010101000
31000011012011022
4313003102220
512143301100
61233152012
7233444024
oct67032250
930135138
1014431400
118167585
1249bb608
132cb38b9
141cb9384
151400e85
hexdc34a8

14431400 has 48 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 5670080.

The previous prime is 14431381. The next prime is 14431409. The reversal of 14431400 is 413441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11189 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 214431400 is an apocalyptic number.

14431400 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 14431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

14431400 is an abundant number, since it is smaller than the sum of its proper divisors (19718200).

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

14431400 is a wasteful number, since it uses less digits than its factorization.

14431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14431400 is about 3798.8682525194. The cubic root of 14431400 is about 243.4647858374.

Adding to 14431400 its reverse (413441), we get a palindrome (14844841).

The spelling of 14431400 in words is "fourteen million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1223 1475 2360 2446 2950 4892 5900 6115 9784 11800 12230 24460 30575 48920 61150 72157 122300 144314 244600 288628 360785 577256 721570 1443140 1803925 2886280 3607850 7215700 14431400