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14824340 = 2251759739
BaseRepresentation
bin111000100011…
…001110010100
31000220011011122
4320203032110
512243334330
61245423112
7240001436
oct70431624
930804148
1014824340
118405823
124b6aa98
1330c06cb
141d7c656
15147c5e5
hexe23394

14824340 has 48 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 5478912.

The previous prime is 14824333. The next prime is 14824343. The reversal of 14824340 is 4342841.

It is a super-2 number, since 2×148243402 = 439522112871200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14824343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19691 + ... + 20429.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 214824340 is an apocalyptic number.

14824340 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 14824340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

14824340 is an abundant number, since it is smaller than the sum of its proper divisors (18742060).

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

14824340 is a wasteful number, since it uses less digits than its factorization.

14824340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 14824340 is about 3850.2389536235. The cubic root of 14824340 is about 245.6547252559.

The spelling of 14824340 in words is "fourteen million, eight hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 739 1003 1180 1478 2006 2956 3695 4012 5015 7390 10030 12563 14780 20060 25126 43601 50252 62815 87202 125630 174404 218005 251260 436010 741217 872020 1482434 2964868 3706085 7412170 14824340