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2831004 = 2233112383
BaseRepresentation
bin1010110011001010011100
312022211102000
422303022130
51211043004
6140402300
733030441
oct12631234
95284360
102831004
111663a80
12b46390
13781767
145399c8
153adc39
hex2b329c

2831004 has 48 divisors (see below), whose sum is σ = 8010240. Its totient is φ = 857520.

The previous prime is 2830979. The next prime is 2831011. The reversal of 2831004 is 4001382.

It is a happy number.

2831004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (166880).

22831004 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 2831004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005120).

2831004 is an abundant number, since it is smaller than the sum of its proper divisors (5179236).

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

2831004 is a wasteful number, since it uses less digits than its factorization.

2831004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2831004 is about 1682.5587656899. The cubic root of 2831004 is about 141.4642911221.

Adding to 2831004 its reverse (4001382), we get a palindrome (6832386).

The spelling of 2831004 in words is "two million, eight hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2383 4766 7149 9532 14298 21447 26213 28596 42894 52426 64341 78639 85788 104852 128682 157278 235917 257364 314556 471834 707751 943668 1415502 2831004