Search a number
-
+
3035648 = 2972112
BaseRepresentation
bin1011100101001000000000
312201020010102
423211020000
51234120043
6145021532
734542200
oct13451000
95636112
103035648
111793800
1210248a8
13823955
14590400
153ee6b8
hex2e5200

3035648 has 90 divisors (see below), whose sum is σ = 7755363. Its totient is φ = 1182720.

The previous prime is 3035647. The next prime is 3035653. The reversal of 3035648 is 8465303.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3035648 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 only one way, i.e., 1517824 + 1517824 = 1232^2 + 1232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1232.

It is a self number, because there is not a number n which added to its sum of digits gives 3035648.

It is not an unprimeable number, because it can be changed into a prime (3035647) 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 in 8 ways as a sum of consecutive naturals, for example, 275963 + ... + 275973.

Almost surely, 23035648 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 3035648

3035648 is an abundant number, since it is smaller than the sum of its proper divisors (4719715).

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

3035648 is an equidigital number, since it uses as much as digits as its factorization.

3035648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3035648 is about 1742.3111088437. The cubic root of 3035648 is about 144.7939681868.

The spelling of 3035648 in words is "three million, thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 352 392 448 484 512 539 616 704 784 847 896 968 1078 1232 1408 1568 1694 1792 1936 2156 2464 2816 3136 3388 3584 3872 4312 4928 5632 5929 6272 6776 7744 8624 9856 11858 12544 13552 15488 17248 19712 23716 25088 27104 30976 34496 39424 47432 54208 61952 68992 94864 108416 137984 189728 216832 275968 379456 433664 758912 1517824 3035648