Search a number
-
+
30630784 = 27613923
BaseRepresentation
bin111010011011…
…0001110000000
32010122012112111
41310312032000
530320141114
63012305104
7521233402
oct164661600
963565474
1030630784
11163213a8
12a312194
136466132
1440d4b72
152a50bc4
hex1d36380

30630784 has 32 divisors (see below), whose sum is σ = 62038440. Its totient is φ = 15060480.

The previous prime is 30630781. The next prime is 30630791. The reversal of 30630784 is 48703603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30630781) 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 3 ways as a sum of consecutive naturals, for example, 5847 + ... + 9769.

Almost surely, 230630784 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 30630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31019220).

30630784 is an abundant number, since it is smaller than the sum of its proper divisors (31407656).

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

30630784 is an equidigital number, since it uses as much as digits as its factorization.

30630784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 30630784 is about 5534.5084695933. The cubic root of 30630784 is about 312.8859325698.

The spelling of 30630784 in words is "thirty million, six hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 3923 7808 7846 15692 31384 62768 125536 239303 251072 478606 502144 957212 1914424 3828848 7657696 15315392 30630784