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345585825 = 33521339383
BaseRepresentation
bin10100100110010…
…011100010100001
3220002021120122000
4110212103202201
51201432221300
654143034213
711364300564
oct2446234241
9802246560
10345585825
1116808a822
129789b969
135679bc70
1433c7c4db
1520515c00
hex149938a1

345585825 has 48 divisors (see below), whose sum is σ = 683706240. Its totient is φ = 170130240.

The previous prime is 345585817. The next prime is 345585827. The reversal of 345585825 is 528585543.

345585825 is a `hidden beast` number, since 3 + 45 + 585 + 8 + 25 = 666.

It is not a de Polignac number, because 345585825 - 23 = 345585817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345585827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10917 + ... + 28466.

It is an arithmetic number, because the mean of its divisors is an integer number (14243880).

Almost surely, 2345585825 is an apocalyptic number.

It is an amenable number.

345585825 is a deficient number, since it is larger than the sum of its proper divisors (338120415).

345585825 is a wasteful number, since it uses less digits than its factorization.

345585825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39415 (or 39404 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The square root of 345585825 is about 18589.9388110881. The cubic root of 345585825 is about 701.7546626067.

The spelling of 345585825 in words is "three hundred forty-five million, five hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 39383 118149 196915 354447 511979 590745 984575 1063341 1535937 1772235 2559895 2953725 4607811 5316705 7679685 8861175 12799475 13823433 23039055 26583525 38398425 69117165 115195275 345585825