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12840324 = 2237314931
BaseRepresentation
bin110000111110…
…110110000100
3220011100121120
4300332312010
511241342244
61135113540
7214066230
oct60766604
926140546
1012840324
117280142
1243728b0
132877633
1419c35c0
1511d9819
hexc3ed84

12840324 has 48 divisors (see below), whose sum is σ = 35352576. Its totient is φ = 3549600.

The previous prime is 12840323. The next prime is 12840337. The reversal of 12840324 is 42304821.

12840324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12840294 and 12840303.

It is not an unprimeable number, because it can be changed into a prime (12840323) 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, 139 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (736512).

Almost surely, 212840324 is an apocalyptic number.

12840324 is a gapful number since it is divisible by the number (14) 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 12840324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676288).

12840324 is an abundant number, since it is smaller than the sum of its proper divisors (22512252).

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

12840324 is a wasteful number, since it uses less digits than its factorization.

12840324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12840324 is about 3583.3397829399. The cubic root of 12840324 is about 234.1668034148.

The spelling of 12840324 in words is "twelve million, eight hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4931 9862 14793 19724 29586 34517 59172 69034 103551 138068 152861 207102 305722 414204 458583 611444 917166 1070027 1834332 2140054 3210081 4280108 6420162 12840324