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2582340 = 2235193223
BaseRepresentation
bin1001110110011101000100
311212012022020
421312131010
51130113330
6131203140
730643455
oct11663504
94765266
102582340
111504172
12a464b0
136c5517
144b312c
15360210
hex276744

2582340 has 48 divisors (see below), whose sum is σ = 7300608. Its totient is φ = 681984.

The previous prime is 2582329. The next prime is 2582353. The reversal of 2582340 is 432852.

2582340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2582340.

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, 11469 + ... + 11691.

It is an arithmetic number, because the mean of its divisors is an integer number (152096).

22582340 is an apocalyptic number.

2582340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582340 is an abundant number, since it is smaller than the sum of its proper divisors (4718268).

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

2582340 is a wasteful number, since it uses less digits than its factorization.

2582340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2582340 is about 1606.9660855164. The cubic root of 2582340 is about 137.1948494583.

The spelling of 2582340 in words is "two million, five hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 223 386 446 579 669 772 892 965 1115 1158 1338 1930 2230 2316 2676 2895 3345 3860 4460 5790 6690 11580 13380 43039 86078 129117 172156 215195 258234 430390 516468 645585 860780 1291170 2582340