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14424312 = 2337233733
BaseRepresentation
bin110111000001…
…100011111000
31000010211102210
4313001203320
512143034222
61233055120
7233414250
oct67014370
930124383
1014424312
118162221
1249b74a0
132cb05c6
141cb6960
1513edd0c
hexdc18f8

14424312 has 64 divisors (see below), whose sum is σ = 43015680. Its totient is φ = 3940992.

The previous prime is 14424271. The next prime is 14424317. The reversal of 14424312 is 21342441.

14424312 is digitally balanced in base 2, because in such base 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 (21).

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 (14424317) 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, 1998 + ... + 5730.

It is an arithmetic number, because the mean of its divisors is an integer number (672120).

Almost surely, 214424312 is an apocalyptic number.

14424312 is a gapful number since it is divisible by the number (12) 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 14424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21507840).

14424312 is an abundant number, since it is smaller than the sum of its proper divisors (28591368).

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

14424312 is a wasteful number, since it uses less digits than its factorization.

14424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3768 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 14424312 is about 3797.9352285156. The cubic root of 14424312 is about 243.4249199661.

Adding to 14424312 its reverse (21342441), we get a palindrome (35766753).

The spelling of 14424312 in words is "fourteen million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3733 3864 7466 11199 14932 22398 26131 29864 44796 52262 78393 85859 89592 104524 156786 171718 209048 257577 313572 343436 515154 601013 627144 686872 1030308 1202026 1803039 2060616 2404052 3606078 4808104 7212156 14424312