Search a number
-
+
3035072 = 26471009
BaseRepresentation
bin1011100100111111000000
312201012100002
423210333000
51234110242
6145015132
734540415
oct13447700
95635302
103035072
111793327
1210244a8
13823601
1459010c
153ee432
hex2e4fc0

3035072 has 28 divisors (see below), whose sum is σ = 6156960. Its totient is φ = 1483776.

The previous prime is 3035063. The next prime is 3035083. The reversal of 3035072 is 2705303.

3035072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 2504 + ... + 3512.

Almost surely, 23035072 is an apocalyptic number.

3035072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078480).

3035072 is an abundant number, since it is smaller than the sum of its proper divisors (3121888).

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

3035072 is a wasteful number, since it uses less digits than its factorization.

3035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3035072 is about 1742.1458033127. The cubic root of 3035072 is about 144.7848096149.

The spelling of 3035072 in words is "three million, thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1009 1504 2018 3008 4036 8072 16144 32288 47423 64576 94846 189692 379384 758768 1517536 3035072