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14443344 = 2432195279
BaseRepresentation
bin110111000110…
…001101010000
31000011210112200
4313012031100
512144141334
61233323200
7233523606
oct67061520
930153480
1014443344
118175553
124a06500
132cb9176
141cbd876
151404799
hexdc6350

14443344 has 60 divisors (see below), whose sum is σ = 42556800. Its totient is φ = 4560192.

The previous prime is 14443343. The next prime is 14443361. The reversal of 14443344 is 44334441.

It is a super-2 number, since 2×144433442 = 417220371804672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443343) 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, 97 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 214443344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278400).

14443344 is an abundant number, since it is smaller than the sum of its proper divisors (28113456).

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

14443344 is a wasteful number, since it uses less digits than its factorization.

14443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5303 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 14443344 is about 3800.4399745293. The cubic root of 14443344 is about 243.5319343590.

Adding to 14443344 its reverse (44334441), we get a palindrome (58777785).

The spelling of 14443344 in words is "fourteen million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5279 10558 15837 21116 31674 42232 47511 63348 84464 95022 100301 126696 190044 200602 253392 300903 380088 401204 601806 760176 802408 902709 1203612 1604816 1805418 2407224 3610836 4814448 7221672 14443344