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14372424 = 23331123263
BaseRepresentation
bin110110110100…
…111001001000
31000001012021000
4312310321020
512134404144
61232015000
7233110053
oct66647110
930035230
1014372424
118127240
124991460
132c92ac1
141ca1a9a
1513dd769
hexdb4e48

14372424 has 128 divisors (see below), whose sum is σ = 45619200. Its totient is φ = 4150080.

The previous prime is 14372419. The next prime is 14372431. The reversal of 14372424 is 42427341.

14372424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 54517 + ... + 54779.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 214372424 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 14372424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809600).

14372424 is an abundant number, since it is smaller than the sum of its proper divisors (31246776).

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

14372424 is a wasteful number, since it uses less digits than its factorization.

14372424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 14372424 is about 3791.0979939854. The cubic root of 14372424 is about 243.1326816939.

Adding to 14372424 its reverse (42427341), we get a palindrome (56799765).

The spelling of 14372424 in words is "fourteen million, three hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 263 264 276 297 396 414 506 526 552 594 621 759 789 792 828 1012 1052 1188 1242 1518 1578 1656 2024 2104 2277 2367 2376 2484 2893 3036 3156 4554 4734 4968 5786 6049 6072 6312 6831 7101 8679 9108 9468 11572 12098 13662 14202 17358 18147 18216 18936 23144 24196 26037 27324 28404 34716 36294 48392 52074 54441 54648 56808 66539 69432 72588 78111 104148 108882 133078 145176 156222 163323 199617 208296 217764 266156 312444 326646 399234 435528 532312 598851 624888 653292 798468 1197702 1306584 1596936 1796553 2395404 3593106 4790808 7186212 14372424