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3305024 = 26113457
BaseRepresentation
bin1100100110111001000000
320012220122022
430212321000
51321230044
6154501012
740043432
oct14467100
96186568
103305024
111958128
121134768
138b9448
14620652
154543ee
hex326e40

3305024 has 28 divisors (see below), whose sum is σ = 6630924. Its totient is φ = 1634304.

The previous prime is 3305017. The next prime is 3305033. The reversal of 3305024 is 4205033.

3305024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 2050624 = 1120^2 + 1432^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3304993 and 3305011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7004 + ... + 7460.

Almost surely, 23305024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315462).

3305024 is an abundant number, since it is smaller than the sum of its proper divisors (3325900).

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

3305024 is a wasteful number, since it uses less digits than its factorization.

3305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3305024 is about 1817.9724970417. The cubic root of 3305024 is about 148.9560701087.

Subtracting 3305024 from its reverse (4205033), we obtain a palindrome (900009).

The spelling of 3305024 in words is "three million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 457 904 914 1808 1828 3616 3656 7232 7312 14624 29248 51641 103282 206564 413128 826256 1652512 3305024