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242334512 = 24719263433
BaseRepresentation
bin11100111000110…
…11101100110000
3121212222212110022
432130123230300
5444014201022
640014023012
76001544420
oct1634335460
9555885408
10242334512
11114878562
12691a7a68
133b28a604
1424282480
151641cc42
hexe71bb30

242334512 has 80 divisors (see below), whose sum is σ = 568296960. Its totient is φ = 97790976.

The previous prime is 242334503. The next prime is 242334529. The reversal of 242334512 is 215433242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559448 + ... + 559880.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2242334512 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 242334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480).

242334512 is an abundant number, since it is smaller than the sum of its proper divisors (325962448).

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

242334512 is a wasteful number, since it uses less digits than its factorization.

242334512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 242334512 is about 15567.0970961191. The cubic root of 242334512 is about 623.4549673190.

Adding to 242334512 its reverse (215433242), we get a palindrome (457767754).

The spelling of 242334512 in words is "two hundred forty-two million, three hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 263 266 304 433 526 532 866 1052 1064 1732 1841 2104 2128 3031 3464 3682 4208 4997 6062 6928 7364 8227 9994 12124 14728 16454 19988 24248 29456 32908 34979 39976 48496 57589 65816 69958 79952 113879 115178 131632 139916 227758 230356 279832 455516 460712 559664 797153 911032 921424 1594306 1822064 2163701 3188612 4327402 6377224 8654804 12754448 15145907 17309608 30291814 34619216 60583628 121167256 242334512