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3002328 = 2332722337
BaseRepresentation
bin1011011100111111011000
312122112102100
423130333120
51232033303
6144203400
734343100
oct13347730
95575370
103002328
11177076a
121009560
13811734
14582200
153e48a3
hex2dcfd8

3002328 has 144 divisors (see below), whose sum is σ = 10136880. Its totient is φ = 798336.

The previous prime is 3002327. The next prime is 3002369. The reversal of 3002328 is 8232003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3002328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81126 + ... + 81162.

It is an arithmetic number, because the mean of its divisors is an integer number (70395).

Almost surely, 23002328 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 3002328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068440).

3002328 is an abundant number, since it is smaller than the sum of its proper divisors (7134552).

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

3002328 is a wasteful number, since it uses less digits than its factorization.

3002328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3002328 is about 1732.7227129578. The cubic root of 3002328 is about 144.2622535739.

It can be divided in two parts, 300 and 2328, that added together give a triangular number (2628 = T72).

The spelling of 3002328 in words is "three million, two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 37 42 46 49 56 63 69 72 74 84 92 98 111 126 138 147 148 161 168 184 196 207 222 252 259 276 294 296 322 333 392 414 441 444 483 504 518 552 588 644 666 777 828 851 882 888 966 1036 1127 1176 1288 1332 1449 1554 1656 1702 1764 1813 1932 2072 2254 2331 2553 2664 2898 3108 3381 3404 3528 3626 3864 4508 4662 5106 5439 5796 5957 6216 6762 6808 7252 7659 9016 9324 10143 10212 10878 11592 11914 13524 14504 15318 16317 17871 18648 20286 20424 21756 23828 27048 30636 32634 35742 40572 41699 43512 47656 53613 61272 65268 71484 81144 83398 107226 125097 130536 142968 166796 214452 250194 333592 375291 428904 500388 750582 1000776 1501164 3002328