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14341320 = 2333572271
BaseRepresentation
bin110110101101…
…010011001000
3222222121121000
4312231103020
512132410240
61231215000
7232620300
oct66552310
928877530
1014341320
118105934
124977460
132c818b6
141c94600
1513d4430
hexdad4c8

14341320 has 192 divisors, whose sum is σ = 55814400. Its totient is φ = 3265920.

The previous prime is 14341303. The next prime is 14341337. The reversal of 14341320 is 2314341.

14341320 is a `hidden beast` number, since 1 + 4 + 341 + 320 = 666.

14341320 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 an interprime number because it is at equal distance from previous prime (14341303) and next prime (14341337).

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 = 14341293 and 14341302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52785 + ... + 53055.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 214341320 is an apocalyptic number.

14341320 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 14341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

14341320 is an abundant number, since it is smaller than the sum of its proper divisors (41473080).

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

14341320 is a wasteful number, since it uses less digits than its factorization.

14341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

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

The square root of 14341320 is about 3786.9935304935. The cubic root of 14341320 is about 242.9571636121.

Adding to 14341320 its reverse (2314341), we get a palindrome (16655661).

The spelling of 14341320 in words is "fourteen million, three hundred forty-one thousand, three hundred twenty".