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30330168 = 23311131877
BaseRepresentation
bin111001110110…
…0110100111000
32010001221011120
41303230310320
530231031133
63002025240
7515542101
oct163546470
963057146
1030330168
1116136560
12a1a8220
13638c35b
1440573a8
1529e1ab3
hex1cecd38

30330168 has 64 divisors (see below), whose sum is σ = 83445120. Its totient is φ = 9110400.

The previous prime is 30330161. The next prime is 30330173. The reversal of 30330168 is 86103303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34146 + ... + 35022.

It is an arithmetic number, because the mean of its divisors is an integer number (1303830).

Almost surely, 230330168 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 30330168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722560).

30330168 is an abundant number, since it is smaller than the sum of its proper divisors (53114952).

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

30330168 is a wasteful number, since it uses less digits than its factorization.

30330168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30330168 is about 5507.2831777565. The cubic root of 30330168 is about 311.8589928237.

The spelling of 30330168 in words is "thirty million, three hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 877 1048 1441 1572 1754 2631 2882 3144 3508 4323 5262 5764 7016 8646 9647 10524 11528 17292 19294 21048 28941 34584 38588 57882 77176 114887 115764 229774 231528 344661 459548 689322 919096 1263757 1378644 2527514 2757288 3791271 5055028 7582542 10110056 15165084 30330168