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9066304 = 261317641
BaseRepresentation
bin100010100101…
…011101000000
3122001121122001
4202211131000
54310110204
6522153344
7140030242
oct42453500
918047561
109066304
115132715
123052854
131b558a0
1412c0092
15be14a4
hex8a5740

9066304 has 56 divisors (see below), whose sum is σ = 20546568. Its totient is φ = 3932160.

The previous prime is 9066271. The next prime is 9066307. The reversal of 9066304 is 4036609.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 6350400 = 1648^2 + 2520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9066307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13824 + ... + 14464.

It is an arithmetic number, because the mean of its divisors is an integer number (366903).

Almost surely, 29066304 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 9066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273284).

9066304 is an abundant number, since it is smaller than the sum of its proper divisors (11480264).

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

9066304 is a wasteful number, since it uses less digits than its factorization.

9066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 9066304 is about 3011.0303884219. The cubic root of 9066304 is about 208.5179399784.

The spelling of 9066304 in words is "nine million, sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 641 832 884 1088 1282 1768 2564 3536 5128 7072 8333 10256 10897 14144 16666 20512 21794 33332 41024 43588 66664 87176 133328 141661 174352 266656 283322 348704 533312 566644 697408 1133288 2266576 4533152 9066304