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33028434 = 2325389389
BaseRepresentation
bin111110111111…
…1100101010010
32022011000111100
41331333211102
531423402214
63135525230
7550510545
oct175774522
968130440
1033028434
111770982a
12b089816
136ac556a
14455a85c
152d76309
hex1f7f952

33028434 has 48 divisors (see below), whose sum is σ = 73920600. Its totient is φ = 10652928.

The previous prime is 33028409. The next prime is 33028447. The reversal of 33028434 is 43482033.

It can be written as a sum of positive squares in 4 ways, for example, as 23011209 + 10017225 = 4797^2 + 3165^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33028398 and 33028407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84712 + ... + 85100.

Almost surely, 233028434 is an apocalyptic number.

33028434 is an abundant number, since it is smaller than the sum of its proper divisors (40892166).

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

33028434 is a wasteful number, since it uses less digits than its factorization.

33028434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 33028434 is about 5747.0369756945. The cubic root of 33028434 is about 320.8455308269.

The spelling of 33028434 in words is "thirty-three million, twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 89 106 159 178 267 318 389 477 534 778 801 954 1167 1602 2334 3501 4717 7002 9434 14151 20617 28302 34621 41234 42453 61851 69242 84906 103863 123702 185553 207726 311589 371106 623178 1834913 3669826 5504739 11009478 16514217 33028434