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3036820 = 225151841
BaseRepresentation
bin1011100101011010010100
312201021201211
423211122110
51234134240
6145031204
734545463
oct13453224
95637654
103036820
111794676
121025504
13824347
145909da
153eebea
hex2e5694

3036820 has 12 divisors (see below), whose sum is σ = 6377364. Its totient is φ = 1214720.

The previous prime is 3036809. The next prime is 3036823. The reversal of 3036820 is 286303.

3036820 is digitally balanced in base 2, 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 334084 + 2702736 = 578^2 + 1644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3036791 and 3036800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75901 + ... + 75940.

It is an arithmetic number, because the mean of its divisors is an integer number (531447).

Almost surely, 23036820 is an apocalyptic number.

It is an amenable number.

3036820 is an abundant number, since it is smaller than the sum of its proper divisors (3340544).

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

3036820 is a wasteful number, since it uses less digits than its factorization.

3036820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151850 (or 151848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3036820 is about 1742.6474112683. The cubic root of 3036820 is about 144.8125997603.

The spelling of 3036820 in words is "three million, thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 151841 303682 607364 759205 1518410 3036820