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3227328 = 263213431
BaseRepresentation
bin1100010011111011000000
320001222001200
430103323000
51311233303
6153101200
736301056
oct14237300
96058050
103227328
111904815
1210b7800
1388cc80
146001d6
1543b3a3
hex313ec0

3227328 has 84 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 990720.

The previous prime is 3227293. The next prime is 3227353. The reversal of 3227328 is 8237223.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7273 + ... + 7703.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 23227328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

3227328 is an abundant number, since it is smaller than the sum of its proper divisors (6757920).

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

3227328 is a wasteful number, since it uses less digits than its factorization.

3227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3227328 is about 1796.4765514751. The cubic root of 3227328 is about 147.7795598221.

The spelling of 3227328 in words is "three million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 431 468 576 624 832 862 936 1248 1293 1724 1872 2496 2586 3448 3744 3879 5172 5603 6896 7488 7758 10344 11206 13792 15516 16809 20688 22412 27584 31032 33618 41376 44824 50427 62064 67236 82752 89648 100854 124128 134472 179296 201708 248256 268944 358592 403416 537888 806832 1075776 1613664 3227328