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33830528 = 27264301
BaseRepresentation
bin1000000100001…
…1011010000000
32100122202202112
42001003122000
532130034103
63205034452
7560361164
oct201033200
970582675
1033830528
1118107416
12b3b5a28
137016684
1446c8ca4
152e83cd8
hex2043680

33830528 has 16 divisors (see below), whose sum is σ = 67397010. Its totient is φ = 16915200.

The previous prime is 33830521. The next prime is 33830549. The reversal of 33830528 is 82503833.

It can be written as a sum of positive squares in only one way, i.e., 32171584 + 1658944 = 5672^2 + 1288^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×338305282 = 2289009249517568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33830494 and 33830503.

It is not an unprimeable number, because it can be changed into a prime (33830521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132023 + ... + 132278.

Almost surely, 233830528 is an apocalyptic number.

It is an amenable number.

33830528 is a deficient number, since it is larger than the sum of its proper divisors (33566482).

33830528 is an equidigital number, since it uses as much as digits as its factorization.

33830528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264315 (or 264303 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 33830528 is about 5816.4016367510. The cubic root of 33830528 is about 323.4220250074.

The spelling of 33830528 in words is "thirty-three million, eight hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 264301 528602 1057204 2114408 4228816 8457632 16915264 33830528