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2082340 = 225138009
BaseRepresentation
bin111111100011000100100
310220210102201
413330120210
51013113330
6112344244
723461651
oct7743044
93823381
102082340
1111a2547
12845084
1357ba70
143c2c28
152b1eca
hex1fc624

2082340 has 24 divisors (see below), whose sum is σ = 4709880. Its totient is φ = 768768.

The previous prime is 2082281. The next prime is 2082341. The reversal of 2082340 is 432802.

2082340 = 1462 + 1472 + ... + 2102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 1999396 = 288^2 + 1414^2 .

It is a super-2 number, since 2×20823402 = 8672279751200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082341) 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, 3745 + ... + 4264.

It is an arithmetic number, because the mean of its divisors is an integer number (196245).

22082340 is an apocalyptic number.

2082340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082340 is an abundant number, since it is smaller than the sum of its proper divisors (2627540).

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

2082340 is a wasteful number, since it uses less digits than its factorization.

2082340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2082340 is about 1443.0315311870. The cubic root of 2082340 is about 127.6979368199.

The spelling of 2082340 in words is "two million, eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8009 16018 32036 40045 80090 104117 160180 208234 416468 520585 1041170 2082340