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3009296 = 24192521
BaseRepresentation
bin1011011110101100010000
312122212222102
423132230100
51232244141
6144255532
734402313
oct13365420
95585872
103009296
111775a24
1210115a8
13814964
1458497a
153e699b
hex2deb10

3009296 has 30 divisors (see below), whose sum is σ = 6165342. Its totient is φ = 1422720.

The previous prime is 3009271. The next prime is 3009311. The reversal of 3009296 is 6929003.

3009296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2310400 + 698896 = 1520^2 + 836^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5516 + ... + 6036.

Almost surely, 23009296 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 3009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082671).

3009296 is an abundant number, since it is smaller than the sum of its proper divisors (3156046).

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

3009296 is a wasteful number, since it uses less digits than its factorization.

3009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3009296 is about 1734.7322559980. The cubic root of 3009296 is about 144.3737717829.

The spelling of 3009296 in words is "three million, nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 521 722 1042 1444 2084 2888 4168 5776 8336 9899 19798 39596 79192 158384 188081 376162 752324 1504648 3009296