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304035328 = 291913109
BaseRepresentation
bin10010000111110…
…011011000000000
3210012002121001201
4102013303120000
51110313112303
650100310544
710351154242
oct2207633000
9705077051
10304035328
11146690273
12859a2454
134acb177c
142c544092
151ba5981d
hex121f3600

304035328 has 40 divisors (see below), whose sum is σ = 610853760. Its totient is φ = 151173120.

The previous prime is 304035323. The next prime is 304035331. The reversal of 304035328 is 823530403.

It is a junction number, because it is equal to n+sod(n) for n = 304035296 and 304035305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304035323) 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 3 ways as a sum of consecutive naturals, for example, 96238 + ... + 99346.

It is an arithmetic number, because the mean of its divisors is an integer number (15271344).

Almost surely, 2304035328 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 304035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305426880).

304035328 is an abundant number, since it is smaller than the sum of its proper divisors (306818432).

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

304035328 is an equidigital number, since it uses as much as digits as its factorization.

304035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 304035328 is about 17436.6088446120. The cubic root of 304035328 is about 672.4211268130.

The spelling of 304035328 in words is "three hundred four million, thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1528 3056 3109 6112 6218 12224 12436 24448 24872 48896 49744 97792 99488 198976 397952 593819 795904 1187638 1591808 2375276 4750552 9501104 19002208 38004416 76008832 152017664 304035328