Search a number
-
+
30455568 = 243311131729
BaseRepresentation
bin111010000101…
…1011100010000
32010022022012000
41310023130100
530244034233
63004434000
7516603513
oct164133420
963268160
1030455568
11162117a0
12a248900
136404460
14408ad7a
152a18d13
hex1d0b710

30455568 has 320 divisors, whose sum is σ = 112492800. Its totient is φ = 7741440.

The previous prime is 30455563. The next prime is 30455569. The reversal of 30455568 is 86555403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30455563) 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 63 ways as a sum of consecutive naturals, for example, 1050178 + ... + 1050206.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 230455568 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 30455568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

30455568 is an abundant number, since it is smaller than the sum of its proper divisors (82037232).

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

30455568 is a wasteful number, since it uses less digits than its factorization.

30455568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 30455568 is about 5518.6563582089. The cubic root of 30455568 is about 312.2881952498.

The spelling of 30455568 in words is "thirty million, four hundred fifty-five thousand, five hundred sixty-eight".