Search a number
-
+
30034728 = 23321572657
BaseRepresentation
bin111001010010…
…0101100101000
32002111220220100
41302210230220
530142102403
62551425400
7513201543
oct162445450
962456810
1030034728
1115a54599
12a085260
1362b7a39
143dbb85a
1529842a3
hex1ca4b28

30034728 has 48 divisors (see below), whose sum is σ = 81892980. Its totient is φ = 9944064.

The previous prime is 30034727. The next prime is 30034811. The reversal of 30034728 is 82743003.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 26244 = 5478^2 + 162^2 .

It is not an unprimeable number, because it can be changed into a prime (30034723) 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 11 ways as a sum of consecutive naturals, for example, 9976 + ... + 12632.

Almost surely, 230034728 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 30034728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40946490).

30034728 is an abundant number, since it is smaller than the sum of its proper divisors (51858252).

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

30034728 is a wasteful number, since it uses less digits than its factorization.

30034728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30034728 is about 5480.3948762840. The cubic root of 30034728 is about 310.8431021055.

The spelling of 30034728 in words is "thirty million, thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2657 2826 3768 5314 5652 7971 10628 11304 15942 21256 23913 31884 47826 63768 95652 191304 417149 834298 1251447 1668596 2502894 3337192 3754341 5005788 7508682 10011576 15017364 30034728