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2009328 = 243411021
BaseRepresentation
bin111101010100011110000
310210002021120
413222203300
51003244303
6111022240
723036046
oct7524360
93702246
102009328
111152702
1280a980
13554769
143a4396
1529a553
hex1ea8f0

2009328 has 40 divisors (see below), whose sum is σ = 5322576. Its totient is φ = 652800.

The previous prime is 2009321. The next prime is 2009333. The reversal of 2009328 is 8239002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2009298 and 2009307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1458 + ... + 2478.

22009328 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 2009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661288).

2009328 is an abundant number, since it is smaller than the sum of its proper divisors (3313248).

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

2009328 is a wasteful number, since it uses less digits than its factorization.

2009328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2009328 is about 1417.5076719369. The cubic root of 2009328 is about 126.1876769805.

The spelling of 2009328 in words is "two million, nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1021 1968 2042 3063 4084 6126 8168 12252 16336 24504 41861 49008 83722 125583 167444 251166 334888 502332 669776 1004664 2009328