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2086344 = 233313743
BaseRepresentation
bin111111101010111001000
310220222221000
413331113020
51013230334
6112415000
723506431
oct7752710
93828830
102086344
1111a5557
12847460
13580830
143c4488
152b3299
hex1fd5c8

2086344 has 64 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 641088.

The previous prime is 2086339. The next prime is 2086349. The reversal of 2086344 is 4436802.

2086344 is a `hidden beast` number, since 20 + 8 + 634 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2086339) and next prime (2086349).

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

It is not an unprimeable number, because it can be changed into a prime (2086349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2437 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

22086344 is an apocalyptic number.

2086344 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 2086344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2086344 is an abundant number, since it is smaller than the sum of its proper divisors (4163256).

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

2086344 is a wasteful number, since it uses less digits than its factorization.

2086344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2086344 is about 1444.4182219842. The cubic root of 2086344 is about 127.7797318472.

The spelling of 2086344 in words is "two million, eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 743 936 1404 1486 2229 2808 2972 4458 5944 6687 8916 9659 13374 17832 19318 20061 26748 28977 38636 40122 53496 57954 77272 80244 86931 115908 160488 173862 231816 260793 347724 521586 695448 1043172 2086344