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3045328 = 2411413
BaseRepresentation
bin1011100111011111010000
312201201101221
423213133100
51234422303
6145134424
734612336
oct13473720
95651357
103045328
1117a0000
12102a414
13828190
14593b56
154024bd
hex2e77d0

3045328 has 50 divisors (see below), whose sum is σ = 6989570. Its totient is φ = 1277760.

The previous prime is 3045323. The next prime is 3045379. The reversal of 3045328 is 8235403.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 937024 = 1452^2 + 968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 234250 + ... + 234262.

Almost surely, 23045328 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 3045328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494785).

3045328 is an abundant number, since it is smaller than the sum of its proper divisors (3944242).

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

3045328 is an equidigital number, since it uses as much as digits as its factorization.

3045328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3045328 is about 1745.0868173246. The cubic root of 3045328 is about 144.9477100396.

The spelling of 3045328 in words is "three million, forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1331 1573 1936 2288 2662 3146 5324 6292 10648 12584 14641 17303 21296 25168 29282 34606 58564 69212 117128 138424 190333 234256 276848 380666 761332 1522664 3045328