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242460330 = 23572198681
BaseRepresentation
bin11100111001110…
…10011010101010
3121220020021001020
432130322122222
5444032212310
640020433310
76002610300
oct1634723252
9556207036
10242460330
11114954042
1269248836
133b302968
14242b6270
1516445170
hexe73a6aa

242460330 has 96 divisors (see below), whose sum is σ = 712618560. Its totient is φ = 52496640.

The previous prime is 242460301. The next prime is 242460353. The reversal of 242460330 is 33064242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242460330.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23590 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (7423110).

Almost surely, 2242460330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242460330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356309280).

242460330 is an abundant number, since it is smaller than the sum of its proper divisors (470158230).

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

242460330 is a wasteful number, since it uses less digits than its factorization.

242460330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724 (or 8717 counting only the distinct ones).

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

The square root of 242460330 is about 15571.1377233650. The cubic root of 242460330 is about 623.5628461417.

The spelling of 242460330 in words is "two hundred forty-two million, four hundred sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 8681 9310 13965 17362 26043 27930 43405 52086 60767 86810 121534 130215 164939 182301 260430 303835 329878 364602 425369 494817 607670 824695 850738 911505 989634 1154573 1276107 1649390 1823010 2126845 2309146 2474085 2552214 3463719 4253690 4948170 5772865 6380535 6927438 8082011 11545730 12761070 16164022 17318595 24246033 34637190 40410055 48492066 80820110 121230165 242460330