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3085568 = 2817709
BaseRepresentation
bin1011110001010100000000
312210202121022
423301110000
51242214233
6150045012
735140553
oct13612400
95722538
103085568
111818262
121049768
138405a5
145a469a
1540e398
hex2f1500

3085568 has 36 divisors (see below), whose sum is σ = 6530580. Its totient is φ = 1449984.

The previous prime is 3085567. The next prime is 3085591. The reversal of 3085568 is 8655803.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 1721344 = 1168^2 + 1312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3998 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (181405).

Almost surely, 23085568 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 3085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265290).

3085568 is an abundant number, since it is smaller than the sum of its proper divisors (3445012).

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

3085568 is an equidigital number, since it uses as much as digits as its factorization.

3085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 3085568 is about 1756.5784924107. The cubic root of 3085568 is about 145.5833495431.

The spelling of 3085568 in words is "three million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 709 1088 1418 2176 2836 4352 5672 11344 12053 22688 24106 45376 48212 90752 96424 181504 192848 385696 771392 1542784 3085568