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2831304 = 233719887
BaseRepresentation
bin1010110011001111001000
312022211211010
422303033020
51211100204
6140403520
733031350
oct12631710
95284733
102831304
111664223
12b465a0
13781938
14539b60
153add89
hex2b33c8

2831304 has 64 divisors (see below), whose sum is σ = 8524800. Its totient is φ = 765504.

The previous prime is 2831293. The next prime is 2831317. The reversal of 2831304 is 4031382.

It is a happy number.

2831304 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 (21).

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, 2749 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (133200).

22831304 is an apocalyptic number.

2831304 is a gapful number since it is divisible by the number (24) 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 2831304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262400).

2831304 is an abundant number, since it is smaller than the sum of its proper divisors (5693496).

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

2831304 is a wasteful number, since it uses less digits than its factorization.

2831304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2831304 is about 1682.6479132605. The cubic root of 2831304 is about 141.4692879110.

Adding to 2831304 its reverse (4031382), we get a palindrome (6862686).

The spelling of 2831304 in words is "two million, eight hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 887 1064 1596 1774 2661 3192 3548 5322 6209 7096 10644 12418 16853 18627 21288 24836 33706 37254 49672 50559 67412 74508 101118 117971 134824 149016 202236 235942 353913 404472 471884 707826 943768 1415652 2831304