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301015242 = 232112396361
BaseRepresentation
bin10001111100010…
…010000011001010
3202222102011021200
4101330102003022
51104024441432
645511445030
710313405313
oct2174220312
9688364250
10301015242
11144a08230
1284986776
134a494c38
142bd9960a
151b65ea7c
hex11f120ca

301015242 has 48 divisors (see below), whose sum is σ = 714579840. Its totient is φ = 90820800.

The previous prime is 301015241. The next prime is 301015261. The reversal of 301015242 is 242510103.

It is a super-3 number, since 3×3010152423 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (301015241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44142 + ... + 50502.

It is an arithmetic number, because the mean of its divisors is an integer number (14887080).

Almost surely, 2301015242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301015242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357289920).

301015242 is an abundant number, since it is smaller than the sum of its proper divisors (413564598).

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

301015242 is a wasteful number, since it uses less digits than its factorization.

301015242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 301015242 is about 17349.7908344741. The cubic root of 301015242 is about 670.1872514417.

Adding to 301015242 its reverse (242510103), we get a palindrome (543525345).

The spelling of 301015242 in words is "three hundred one million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 239 478 717 1434 2151 2629 4302 5258 6361 7887 12722 15774 19083 23661 38166 47322 57249 69971 114498 139942 209913 419826 629739 1259478 1520279 3040558 4560837 9121674 13682511 16723069 27365022 33446138 50169207 100338414 150507621 301015242