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33045320 = 23571110729
BaseRepresentation
bin111111000001…
…1101101001000
32022011212122202
41332003231020
531424422240
63140135332
7550611020
oct176035510
968155582
1033045320
1117720490
12b097548
136b00159
144562a80
152d7b315
hex1f83b48

33045320 has 64 divisors (see below), whose sum is σ = 92707200. Its totient is φ = 10298880.

The previous prime is 33045307. The next prime is 33045323. The reversal of 33045320 is 2354033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33045292 and 33045301.

It is not an unprimeable number, because it can be changed into a prime (33045323) 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, 2285 + ... + 8444.

It is an arithmetic number, because the mean of its divisors is an integer number (1448550).

Almost surely, 233045320 is an apocalyptic number.

It is an amenable number.

33045320 is an abundant number, since it is smaller than the sum of its proper divisors (59661880).

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

33045320 is a wasteful number, since it uses less digits than its factorization.

33045320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33045320 is about 5748.5058928386. The cubic root of 33045320 is about 320.9001996273.

Adding to 33045320 its reverse (2354033), we get a palindrome (35399353).

The spelling of 33045320 in words is "thirty-three million, forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 10729 21458 42916 53645 75103 85832 107290 118019 150206 214580 236038 300412 375515 429160 472076 590095 600824 751030 826133 944152 1180190 1502060 1652266 2360380 3004120 3304532 4130665 4720760 6609064 8261330 16522660 33045320