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3009060 = 2232573229
BaseRepresentation
bin1011011110101000100100
312122212122200
423132220210
51232242220
6144254500
734401525
oct13365044
95585580
103009060
11177582a
121011430
13814812
1458484c
153e6890
hex2dea24

3009060 has 72 divisors (see below), whose sum is σ = 9292920. Its totient is φ = 787968.

The previous prime is 3009043. The next prime is 3009089. The reversal of 3009060 is 609003.

3009060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 2005056 = 1002^2 + 1416^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13026 + ... + 13254.

Almost surely, 23009060 is an apocalyptic number.

3009060 is a gapful number since it is divisible by the number (30) 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 3009060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646460).

3009060 is an abundant number, since it is smaller than the sum of its proper divisors (6283860).

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

3009060 is a wasteful number, since it uses less digits than its factorization.

3009060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3009060 is about 1734.6642326399. The cubic root of 3009060 is about 144.3699975778.

The spelling of 3009060 in words is "three million, nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 229 292 365 438 458 657 687 730 876 916 1095 1145 1314 1374 1460 2061 2190 2290 2628 2748 3285 3435 4122 4380 4580 6570 6870 8244 10305 13140 13740 16717 20610 33434 41220 50151 66868 83585 100302 150453 167170 200604 250755 300906 334340 501510 601812 752265 1003020 1504530 3009060