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3004288 = 2772479
BaseRepresentation
bin1011011101011110000000
312122122002221
423131132000
51232114123
6144220424
734351600
oct13353600
95578087
103004288
111772191
12100a714
138125b1
14582c00
153e525d
hex2dd780

3004288 has 48 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 1284864.

The previous prime is 3004279. The next prime is 3004301. The reversal of 3004288 is 8824003.

3004288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

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, 6033 + ... + 6511.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 23004288 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 3004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

3004288 is an abundant number, since it is smaller than the sum of its proper divisors (3972512).

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

3004288 is an equidigital number, since it uses as much as digits as its factorization.

3004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3004288 is about 1733.2882045407. The cubic root of 3004288 is about 144.2936394973.

The spelling of 3004288 in words is "three million, four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 479 784 896 958 1568 1916 3136 3353 3832 6272 6706 7664 13412 15328 23471 26824 30656 46942 53648 61312 93884 107296 187768 214592 375536 429184 751072 1502144 3004288