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3003084 = 2232717701
BaseRepresentation
bin1011011101001011001100
312122120110100
423131023030
51232044314
6144211100
734345230
oct13351314
95576410
103003084
111771297
121009a90
13811b96
145825c0
153e4c09
hex2dd2cc

3003084 has 72 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 806400.

The previous prime is 3003079. The next prime is 3003113. The reversal of 3003084 is 4803003.

It is a super-2 number, since 2×30030842 = 18037027022112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3934 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 23003084 is an apocalyptic number.

3003084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

3003084 is an abundant number, since it is smaller than the sum of its proper divisors (6195924).

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

3003084 is a wasteful number, since it uses less digits than its factorization.

3003084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

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

The square root of 3003084 is about 1732.9408530010. The cubic root of 3003084 is about 144.2743611907.

Adding to 3003084 its reverse (4803003), we get a palindrome (7806087).

The spelling of 3003084 in words is "three million, three thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 701 714 1071 1402 1428 2103 2142 2804 4206 4284 4907 6309 8412 9814 11917 12618 14721 19628 23834 25236 29442 35751 44163 47668 58884 71502 83419 88326 107253 143004 166838 176652 214506 250257 333676 429012 500514 750771 1001028 1501542 3003084