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BaseRepresentation
bin100100110000…
…010000000000
3200010111111001
4210300100000
54431303231
6542301344
7144615562
oct44602000
920114431
109634816
115490864
123287854
131cc4599
1413cb332
15ca4b61
hex930400

9634816 has 33 divisors (see below), whose sum is σ = 19460829. Its totient is φ = 4767744.

The previous prime is 9634789. The next prime is 9634819. The reversal of 9634816 is 6184369.

The square root of 9634816 is 3104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4326400 + 5308416 = 2080^2 + 2304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9634819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 99280 + ... + 99376.

Almost surely, 29634816 is an apocalyptic number.

9634816 is the 3104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9634816

9634816 is an abundant number, since it is smaller than the sum of its proper divisors (9826013).

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

9634816 is an frugal number, since it uses more digits than its factorization.

9634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 99 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The cubic root of 9634816 is about 212.7883310917.

The spelling of 9634816 in words is "nine million, six hundred thirty-four thousand, eight hundred sixteen".