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3028480 = 2957132
BaseRepresentation
bin1011100011011000000000
312200212021221
423203120000
51233402410
6144524424
734512250
oct13433000
95625257
103028480
111789384
121020714
13820600
1458b960
153ec4da
hex2e3600

3028480 has 120 divisors (see below), whose sum is σ = 8986032. Its totient is φ = 958464.

The previous prime is 3028471. The next prime is 3028489. The reversal of 3028480 is 848203.

3028480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3028471) and next prime (3028489).

It is a super-2 number, since 2×30284802 = 18343382220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028489) 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, 232954 + ... + 232966.

Almost surely, 23028480 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 3028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493016).

3028480 is an abundant number, since it is smaller than the sum of its proper divisors (5957552).

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

3028480 is an equidigital number, since it uses as much as digits as its factorization.

3028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

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

The square root of 3028480 is about 1740.2528551909. The cubic root of 3028480 is about 144.6799122372.

The spelling of 3028480 in words is "three million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 169 182 208 224 256 260 280 320 338 364 416 448 455 512 520 560 640 676 728 832 845 896 910 1040 1120 1183 1280 1352 1456 1664 1690 1792 1820 2080 2240 2366 2560 2704 2912 3328 3380 3584 3640 4160 4480 4732 5408 5824 5915 6656 6760 7280 8320 8960 9464 10816 11648 11830 13520 14560 16640 17920 18928 21632 23296 23660 27040 29120 33280 37856 43264 46592 47320 54080 58240 75712 86528 94640 108160 116480 151424 189280 216320 232960 302848 378560 432640 605696 757120 1514240 3028480