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2065338 = 234111961
BaseRepresentation
bin111111000001110111010
310212221010000
413320032322
51012042323
6112133430
723361252
oct7701672
93787100
102065338
1111907a0
12837276
135740c2
143ba962
152abe43
hex1f83ba

2065338 has 80 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 583200.

The previous prime is 2065309. The next prime is 2065363. The reversal of 2065338 is 8335602.

2065338 is a `hidden beast` number, since 2 + 0 + 653 + 3 + 8 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 33828 + ... + 33888.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

22065338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2065338 is an abundant number, since it is smaller than the sum of its proper divisors (3336102).

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

2065338 is a wasteful number, since it uses less digits than its factorization.

2065338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2065338 is about 1437.1283867491. The cubic root of 2065338 is about 127.3494416604.

The spelling of 2065338 in words is "two million, sixty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 61 66 81 99 114 122 162 171 183 198 209 297 342 366 418 513 549 594 627 671 891 1026 1098 1159 1254 1342 1539 1647 1782 1881 2013 2318 3078 3294 3477 3762 4026 4941 5643 6039 6954 9882 10431 11286 12078 12749 16929 18117 20862 25498 31293 33858 36234 38247 54351 62586 76494 93879 108702 114741 187758 229482 344223 688446 1032669 2065338