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3028608 = 273211239
BaseRepresentation
bin1011100011011010000000
312200212110200
423203122000
51233403413
6144525200
734512522
oct13433200
95625420
103028608
111789490
121020800
1382069b
1458ba12
153ec573
hex2e3680

3028608 has 96 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 913920.

The previous prime is 3028603. The next prime is 3028609. The reversal of 3028608 is 8068203.

3028608 is a `hidden beast` number, since 30 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×30286083 = 83339415516805595136, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3028603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12553 + ... + 12791.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

Almost surely, 23028608 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 3028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

3028608 is an abundant number, since it is smaller than the sum of its proper divisors (6518592).

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

3028608 is a wasteful number, since it uses less digits than its factorization.

3028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3028608 is about 1740.2896310672. The cubic root of 3028608 is about 144.6819505279.

The spelling of 3028608 in words is "three million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 239 264 288 352 384 396 478 528 576 704 717 792 956 1056 1152 1408 1434 1584 1912 2112 2151 2629 2868 3168 3824 4224 4302 5258 5736 6336 7648 7887 8604 10516 11472 12672 15296 15774 17208 21032 22944 23661 30592 31548 34416 42064 45888 47322 63096 68832 84128 91776 94644 126192 137664 168256 189288 252384 275328 336512 378576 504768 757152 1009536 1514304 3028608