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4680324 = 22321153223
BaseRepresentation
bin10001110110101010000100
322210210012100
4101312222010
52144232244
6244152100
754532155
oct21665204
98723170
104680324
112707440
121698630
13c7b42c
1489b92c
15626b69
hex476a84

4680324 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1385280.

The previous prime is 4680323. The next prime is 4680353. The reversal of 4680324 is 4230864.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4680323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20877 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 24680324 is an apocalyptic number.

4680324 is a gapful number since it is divisible by the number (44) 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 4680324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4680324 is an abundant number, since it is smaller than the sum of its proper divisors (8528508).

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

4680324 is a wasteful number, since it uses less digits than its factorization.

4680324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4680324 is about 2163.4056485089. The cubic root of 4680324 is about 167.2727921106.

The spelling of 4680324 in words is "four million, six hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 223 318 396 446 477 583 636 669 892 954 1166 1338 1749 1908 2007 2332 2453 2676 3498 4014 4906 5247 6996 7359 8028 9812 10494 11819 14718 20988 22077 23638 29436 35457 44154 47276 70914 88308 106371 130009 141828 212742 260018 390027 425484 520036 780054 1170081 1560108 2340162 4680324