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3084048 = 243311259
BaseRepresentation
bin1011110000111100010000
312210200112000
423300330100
51242142143
6150034000
735133252
oct13607420
95720460
103084048
111817100
121048900
1383c9a6
145a3cd2
1540dbd3
hex2f0f10

3084048 has 120 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 918720.

The previous prime is 3084041. The next prime is 3084049. The reversal of 3084048 is 8404803.

It is a super-2 number, since 2×30840482 = 19022704132608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3084041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52243 + ... + 52301.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 23084048 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 3084048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600).

3084048 is an abundant number, since it is smaller than the sum of its proper divisors (6811152).

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

3084048 is a wasteful number, since it uses less digits than its factorization.

3084048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3084048 is about 1756.1457798258. The cubic root of 3084048 is about 145.5594400567.

It can be divided in two parts, 308 and 4048, that added together give a square (4356 = 662).

The spelling of 3084048 in words is "three million, eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 59 66 72 88 99 108 118 121 132 144 176 177 198 216 236 242 264 297 354 363 396 432 472 484 528 531 594 649 708 726 792 944 968 1062 1089 1188 1298 1416 1452 1584 1593 1936 1947 2124 2178 2376 2596 2832 2904 3186 3267 3894 4248 4356 4752 5192 5808 5841 6372 6534 7139 7788 8496 8712 10384 11682 12744 13068 14278 15576 17424 17523 21417 23364 25488 26136 28556 31152 35046 42834 46728 52272 57112 64251 70092 85668 93456 114224 128502 140184 171336 192753 257004 280368 342672 385506 514008 771012 1028016 1542024 3084048