Search a number
-
+
14317344 = 253373227
BaseRepresentation
bin110110100111…
…011100100000
3222221101201000
4312213130200
512131123334
61230512000
7232460346
oct66473440
928841630
1014317344
118099918
124965600
132c73a02
141c89996
1513cc299
hexda7720

14317344 has 96 divisors (see below), whose sum is σ = 42517440. Its totient is φ = 4686336.

The previous prime is 14317343. The next prime is 14317351. The reversal of 14317344 is 44371341.

14317344 is a `hidden beast` number, since 1 + 4 + 317 + 344 = 666.

14317344 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 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 (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14317343) 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, 62959 + ... + 63185.

It is an arithmetic number, because the mean of its divisors is an integer number (442890).

Almost surely, 214317344 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 14317344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258720).

14317344 is an abundant number, since it is smaller than the sum of its proper divisors (28200096).

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

14317344 is a wasteful number, since it uses less digits than its factorization.

14317344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 14317344 is about 3783.8266345064. The cubic root of 14317344 is about 242.8216951393.

Adding to 14317344 its reverse (44371341), we get a palindrome (58688685).

The spelling of 14317344 in words is "fourteen million, three hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 227 288 292 432 438 454 584 657 681 864 876 908 1168 1314 1362 1752 1816 1971 2043 2336 2628 2724 3504 3632 3942 4086 5256 5448 6129 7008 7264 7884 8172 10512 10896 12258 15768 16344 16571 21024 21792 24516 31536 32688 33142 49032 49713 63072 65376 66284 98064 99426 132568 149139 196128 198852 265136 298278 397704 447417 530272 596556 795408 894834 1193112 1590816 1789668 2386224 3579336 4772448 7158672 14317344