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2000349 = 331341139
BaseRepresentation
bin111101000010111011101
310202121222000
413220113131
51003002344
6110512513
723000631
oct7502735
93677860
102000349
11114698a
12805739
13550650
143a0dc1
15297a69
hex1e85dd

2000349 has 32 divisors (see below), whose sum is σ = 3292800. Its totient is φ = 1192320.

The previous prime is 2000329. The next prime is 2000351. The reversal of 2000349 is 9430002.

It is not a de Polignac number, because 2000349 - 27 = 2000221 is a prime.

It is a super-2 number, since 2×20003492 = 8002792243602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000309) 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 31 ways as a sum of consecutive naturals, for example, 14322 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

22000349 is an apocalyptic number.

It is an amenable number.

2000349 is a deficient number, since it is larger than the sum of its proper divisors (1292451).

2000349 is a wasteful number, since it uses less digits than its factorization.

2000349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2000349 is about 1414.3369471240. The cubic root of 2000349 is about 125.9994331040. Note that the first 3 decimals are identical.

The spelling of 2000349 in words is "two million, three hundred forty-nine", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 41 117 123 139 351 369 417 533 1107 1251 1599 1807 3753 4797 5421 5699 14391 16263 17097 48789 51291 74087 153873 222261 666783 2000349