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330032025 = 32528916481
BaseRepresentation
bin10011101010111…
…110001110011001
3212000000100211100
4103222332032121
51133442011100
652425422013
711115140331
oct2352761631
9760010740
10330032025
1115a326a44
129263a909
13534b452b
1431b900c1
151de92400
hex13abe399

330032025 has 36 divisors (see below), whose sum is σ = 597802140. Its totient is φ = 174028800.

The previous prime is 330032023. The next prime is 330032039. The reversal of 330032025 is 520230033.

It can be written as a sum of positive squares in 6 ways, for example, as 40487769 + 289544256 = 6363^2 + 17016^2 .

It is not a de Polignac number, because 330032025 - 21 = 330032023 is a prime.

It is a super-2 number, since 2×3300320252 = 217842275051201250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330031989 and 330032007.

It is not an unprimeable number, because it can be changed into a prime (330032023) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11785 + ... + 28265.

It is an arithmetic number, because the mean of its divisors is an integer number (16605615).

Almost surely, 2330032025 is an apocalyptic number.

It is an amenable number.

330032025 is a deficient number, since it is larger than the sum of its proper divisors (267770115).

330032025 is a wasteful number, since it uses less digits than its factorization.

330032025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 330032025 is about 18166.7835623150. The cubic root of 330032025 is about 691.0646764501.

Adding to 330032025 its reverse (520230033), we get a palindrome (850262058).

The spelling of 330032025 in words is "three hundred thirty million, thirty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 6675 16481 20025 49443 82405 148329 247215 412025 741645 1236075 1466809 3708225 4400427 7334045 13201281 22002135 36670225 66006405 110010675 330032025