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3028960 = 255111721
BaseRepresentation
bin1011100011011111100000
312200212221201
423203133200
51233411320
6144530544
734513534
oct13433740
95625851
103028960
111789780
121020a54
138208ac
1458bbc4
153ec70a
hex2e37e0

3028960 has 48 divisors (see below), whose sum is σ = 7810992. Its totient is φ = 1100800.

The previous prime is 3028943. The next prime is 3028969. The reversal of 3028960 is 698203.

3028960 = T304 + T305 + ... + T358.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900 + ... + 2620.

It is an arithmetic number, because the mean of its divisors is an integer number (162729).

Almost surely, 23028960 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 3028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905496).

3028960 is an abundant number, since it is smaller than the sum of its proper divisors (4782032).

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

3028960 is a wasteful number, since it uses less digits than its factorization.

3028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3028960 is about 1740.3907607201. The cubic root of 3028960 is about 144.6875555312.

The spelling of 3028960 in words is "three million, twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1721 1760 3442 6884 8605 13768 17210 18931 27536 34420 37862 55072 68840 75724 94655 137680 151448 189310 275360 302896 378620 605792 757240 1514480 3028960