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2009934 = 23419653
BaseRepresentation
bin111101010101101001110
310210010010000
413222231032
51003304214
6111025130
723040603
oct7525516
93703100
102009934
111153103
1280b1a6
13554b14
143a46aa
1529a809
hex1eab4e

2009934 has 40 divisors (see below), whose sum is σ = 4748040. Its totient is φ = 633744.

The previous prime is 2009923. The next prime is 2009957. The reversal of 2009934 is 4399002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2009898 and 2009907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2752 + ... + 3404.

It is an arithmetic number, because the mean of its divisors is an integer number (118701).

22009934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374020).

2009934 is an abundant number, since it is smaller than the sum of its proper divisors (2738106).

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

2009934 is a wasteful number, since it uses less digits than its factorization.

2009934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2009934 is about 1417.7214112794. The cubic root of 2009934 is about 126.2003614943.

The spelling of 2009934 in words is "two million, nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 653 1026 1306 1539 1959 3078 3918 5877 11754 12407 17631 24814 35262 37221 52893 74442 105786 111663 223326 334989 669978 1004967 2009934