Search a number
-
+
30364288 = 271511571
BaseRepresentation
bin111001111010…
…1001010000000
32010010122222021
41303311022000
530233124123
63002451224
7516043423
oct163651200
963118867
1030364288
111615a159
12a203b14
1363a1a46
1440659ba
1529ebc5d
hex1cf5280

30364288 has 32 divisors (see below), whose sum is σ = 60930720. Its totient is φ = 15072000.

The previous prime is 30364273. The next prime is 30364319. The reversal of 30364288 is 88246303.

It is a tau number, because it is divible by the number of its divisors (32).

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, 18543 + ... + 20113.

It is an arithmetic number, because the mean of its divisors is an integer number (1904085).

Almost surely, 230364288 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 30364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30465360).

30364288 is an abundant number, since it is smaller than the sum of its proper divisors (30566432).

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

30364288 is a wasteful number, since it uses less digits than its factorization.

30364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 30364288 is about 5510.3800231926. The cubic root of 30364288 is about 311.9758911899.

The spelling of 30364288 in words is "thirty million, three hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 1571 2416 3142 4832 6284 9664 12568 19328 25136 50272 100544 201088 237221 474442 948884 1897768 3795536 7591072 15182144 30364288