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33040014 = 2372412741
BaseRepresentation
bin111111000001…
…0011010001110
32022011121101020
41332002122032
531424240024
63140055010
7550556400
oct176023216
968147336
1033040014
11177174a7
12b094466
136aca907
144560b70
152d79979
hex1f8268e

33040014 has 48 divisors (see below), whose sum is σ = 78772176. Its totient is φ = 9206400.

The previous prime is 33040009. The next prime is 33040057. The reversal of 33040014 is 41004033.

It is a junction number, because it is equal to n+sod(n) for n = 33039975 and 33040002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10684 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (1641087).

Almost surely, 233040014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33040014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39386088).

33040014 is an abundant number, since it is smaller than the sum of its proper divisors (45732162).

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

33040014 is a wasteful number, since it uses less digits than its factorization.

33040014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33040014 is about 5748.0443630856. The cubic root of 33040014 is about 320.8830233414.

Adding to 33040014 its reverse (41004033), we get a palindrome (74044047).

The spelling of 33040014 in words is "thirty-three million, forty thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 2741 4018 5482 6027 8223 12054 16446 19187 38374 57561 112381 115122 134309 224762 268618 337143 402927 674286 786667 805854 1573334 2360001 4720002 5506669 11013338 16520007 33040014