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30327728 = 2417432593
BaseRepresentation
bin111001110110…
…0001110110000
32010001210211012
41303230032300
530230441403
63002010052
7515532014
oct163541660
963053735
1030327728
1116134742
12a1a6928
13638b202
144056544
1529e0ed8
hex1cec3b0

30327728 has 40 divisors (see below), whose sum is σ = 63687888. Its totient is φ = 13934592.

The previous prime is 30327709. The next prime is 30327749. The reversal of 30327728 is 82772303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30327694 and 30327703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10400 + ... + 12992.

Almost surely, 230327728 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 30327728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31843944).

30327728 is an abundant number, since it is smaller than the sum of its proper divisors (33360160).

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

30327728 is a wasteful number, since it uses less digits than its factorization.

30327728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 30327728 is about 5507.0616484655. The cubic root of 30327728 is about 311.8506297933.

The spelling of 30327728 in words is "thirty million, three hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2593 2924 5186 5848 10372 11696 20744 41488 44081 88162 111499 176324 222998 352648 445996 705296 891992 1783984 1895483 3790966 7581932 15163864 30327728