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14340312 = 2332737769
BaseRepresentation
bin110110101101…
…000011011000
3222222120012200
4312231003120
512132342222
61231210200
7232614330
oct66550330
928876180
1014340312
1181050a8
124976960
132c812bc
141c940c0
1513d3eac
hexdad0d8

14340312 has 96 divisors (see below), whose sum is σ = 45645600. Its totient is φ = 3981312.

The previous prime is 14340301. The next prime is 14340329. The reversal of 14340312 is 21304341.

14340312 is a `hidden beast` number, since 14 + 340 + 312 = 666.

14340312 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18264 + ... + 19032.

It is an arithmetic number, because the mean of its divisors is an integer number (475475).

Almost surely, 214340312 is an apocalyptic number.

14340312 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 14340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22822800).

14340312 is an abundant number, since it is smaller than the sum of its proper divisors (31305288).

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

14340312 is a wasteful number, since it uses less digits than its factorization.

14340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14340312 is about 3786.8604410514. The cubic root of 14340312 is about 242.9514712826.

Adding to 14340312 its reverse (21304341), we get a palindrome (35644653).

The spelling of 14340312 in words is "fourteen million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 769 777 888 1036 1332 1538 1554 2072 2307 2331 2664 3076 3108 4614 4662 5383 6152 6216 6921 9228 9324 10766 13842 16149 18456 18648 21532 27684 28453 32298 43064 48447 55368 56906 64596 85359 96894 113812 129192 170718 193788 199171 227624 256077 341436 387576 398342 512154 597513 682872 796684 1024308 1195026 1593368 1792539 2048616 2390052 3585078 4780104 7170156 14340312