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33140032 = 262512063
BaseRepresentation
bin111111001101…
…0110101000000
32022100200120121
41332122311000
531440440112
63142150024
7551454112
oct176326500
968320517
1033140032
1117785662
12b122314
136b342b3
1445893b2
152d99407
hex1f9ad40

33140032 has 28 divisors (see below), whose sum is σ = 66056256. Its totient is φ = 16496000.

The previous prime is 33140027. The next prime is 33140039. The reversal of 33140032 is 23004133.

It is a super-2 number, since 2×331400322 = 2196523441922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33139988 and 33140015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140039) 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 3 ways as a sum of consecutive naturals, for example, 15033 + ... + 17095.

It is an arithmetic number, because the mean of its divisors is an integer number (2359152).

Almost surely, 233140032 is an apocalyptic number.

33140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33140032 is a deficient number, since it is larger than the sum of its proper divisors (32916224).

33140032 is a wasteful number, since it uses less digits than its factorization.

33140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33140032 is about 5756.7379652022. The cubic root of 33140032 is about 321.2064871647.

Adding to 33140032 its reverse (23004133), we get a palindrome (56144165).

The spelling of 33140032 in words is "thirty-three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 251 502 1004 2008 2063 4016 4126 8032 8252 16064 16504 33008 66016 132032 517813 1035626 2071252 4142504 8285008 16570016 33140032