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3009072 = 2431141139
BaseRepresentation
bin1011011110101000110000
312122212200010
423132220300
51232242242
6144254520
734401543
oct13365060
95585603
103009072
111775840
121011440
13814821
1458485a
153e689c
hex2dea30

3009072 has 80 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 883200.

The previous prime is 3009043. The next prime is 3009089. The reversal of 3009072 is 2709003.

3009072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 21579 + ... + 21717.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 23009072 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 3009072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3009072 is an abundant number, since it is smaller than the sum of its proper divisors (5740368).

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

3009072 is a wasteful number, since it uses less digits than its factorization.

3009072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3009072 is about 1734.6676915190. The cubic root of 3009072 is about 144.3701894913.

The spelling of 3009072 in words is "three million, nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 139 164 176 246 264 278 328 417 451 492 528 556 656 834 902 984 1112 1353 1529 1668 1804 1968 2224 2706 3058 3336 3608 4587 5412 5699 6116 6672 7216 9174 10824 11398 12232 17097 18348 21648 22796 24464 34194 36696 45592 62689 68388 73392 91184 125378 136776 188067 250756 273552 376134 501512 752268 1003024 1504536 3009072