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30008064 = 28341953
BaseRepresentation
bin111001001111…
…0001100000000
32002110120022210
41302132030000
530140224224
62551102120
7513031032
oct162361400
962416283
1030008064
1115a36559
12a071940
1362a8868
143db1c52
15297b429
hex1c9e300

30008064 has 72 divisors (see below), whose sum is σ = 81898992. Its totient is φ = 9748480.

The previous prime is 30008053. The next prime is 30008089. The reversal of 30008064 is 46080003.

It is a self number, because there is not a number n which added to its sum of digits gives 30008064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31012 + ... + 31964.

It is an arithmetic number, because the mean of its divisors is an integer number (1137486).

Almost surely, 230008064 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 30008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40949496).

30008064 is an abundant number, since it is smaller than the sum of its proper divisors (51890928).

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

30008064 is an equidigital number, since it uses as much as digits as its factorization.

30008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30008064 is about 5477.9616647070. The cubic root of 30008064 is about 310.7510889045.

Adding to 30008064 its reverse (46080003), we get a palindrome (76088067).

The spelling of 30008064 in words is "thirty million, eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 953 984 1312 1906 1968 2624 2859 3812 3936 5248 5718 7624 7872 10496 11436 15248 15744 22872 30496 31488 39073 45744 60992 78146 91488 117219 121984 156292 182976 234438 243968 312584 365952 468876 625168 731904 937752 1250336 1875504 2500672 3751008 5001344 7502016 10002688 15004032 30008064