Search a number
-
+
30430301244 = 2237260785259
BaseRepresentation
bin11100010101110010…
…011000110000111100
32220112201222110201020
4130111302120300330
5444310124114434
621551322544140
72125043202300
oct342562306074
986481873636
1030430301244
11119a61257a2
125a93068050
132b3c585815
141689659d00
15bd17c5849
hex715c98c3c

30430301244 has 72 divisors (see below), whose sum is σ = 82733575680. Its totient is φ = 8679946464.

The previous prime is 30430301243. The next prime is 30430301249. The reversal of 30430301244 is 44210303403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30430301243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314287 + ... + 399545.

It is an arithmetic number, because the mean of its divisors is an integer number (1149077440).

Almost surely, 230430301244 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 30430301244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41366787840).

30430301244 is an abundant number, since it is smaller than the sum of its proper divisors (52303274436).

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

30430301244 is a wasteful number, since it uses less digits than its factorization.

30430301244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85887 (or 85878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30430301244 its reverse (44210303403), we get a palindrome (74640604647).

The spelling of 30430301244 in words is "thirty billion, four hundred thirty million, three hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 607 1214 1821 2428 3642 4249 7284 8498 12747 16996 25494 29743 50988 59486 85259 89229 118972 170518 178458 255777 341036 356916 511554 596813 1023108 1193626 1790439 2387252 3580878 4177691 7161756 8355382 12533073 16710764 25066146 50132292 51752213 103504426 155256639 207008852 310513278 362265491 621026556 724530982 1086796473 1449061964 2173592946 2535858437 4347185892 5071716874 7607575311 10143433748 15215150622 30430301244