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14044320 = 253353251
BaseRepresentation
bin110101100100…
…110010100000
3222102112012000
4311210302200
512043404240
61221004000
7230242353
oct65446240
928375160
1014044320
117a22784
124853600
132ba9664
141c1829a
151376430
hexd64ca0

14044320 has 96 divisors (see below), whose sum is σ = 49170240. Its totient is φ = 3744000.

The previous prime is 14044319. The next prime is 14044321. The reversal of 14044320 is 2344041.

It is an interprime number because it is at equal distance from previous prime (14044319) and next prime (14044321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14044293 and 14044302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695 + ... + 5945.

It is an arithmetic number, because the mean of its divisors is an integer number (512190).

Almost surely, 214044320 is an apocalyptic number.

14044320 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 14044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585120).

14044320 is an abundant number, since it is smaller than the sum of its proper divisors (35125920).

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

14044320 is a wasteful number, since it uses less digits than its factorization.

14044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14044320 is about 3747.5752160564. The cubic root of 14044320 is about 241.2682859058.

Adding to 14044320 its reverse (2344041), we get a palindrome (16388361).

The spelling of 14044320 in words is "fourteen million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 3251 4320 6502 9753 13004 16255 19506 26008 29259 32510 39012 48765 52016 58518 65020 78024 87777 97530 104032 117036 130040 146295 156048 175554 195060 234072 260080 292590 312096 351108 390120 438885 468144 520160 585180 702216 780240 877770 936288 1170360 1404432 1560480 1755540 2340720 2808864 3511080 4681440 7022160 14044320