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242343420 = 223511599613
BaseRepresentation
bin11100111000111…
…01110111111100
3121220000022200020
432130131313330
5444014442140
640014132140
76001612404
oct1634356774
9556008606
10242343420
11114884220
12691b1050
133b291697
1424285804
15164206d0
hexe71ddfc

242343420 has 96 divisors (see below), whose sum is σ = 742694400. Its totient is φ = 58556160.

The previous prime is 242343419. The next prime is 242343457. The reversal of 242343420 is 24343242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395034 + ... + 395646.

It is an arithmetic number, because the mean of its divisors is an integer number (7736400).

Almost surely, 2242343420 is an apocalyptic number.

242343420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371347200).

242343420 is an abundant number, since it is smaller than the sum of its proper divisors (500350980).

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

242343420 is a wasteful number, since it uses less digits than its factorization.

242343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 242343420 is about 15567.3832097755. The cubic root of 242343420 is about 623.4626064411.

Adding to 242343420 its reverse (24343242), we get a palindrome (266686662).

The spelling of 242343420 in words is "two hundred forty-two million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 599 613 660 1198 1226 1797 1839 2396 2452 2995 3065 3594 3678 5990 6130 6589 6743 7188 7356 8985 9195 11980 12260 13178 13486 17970 18390 19767 20229 26356 26972 32945 33715 35940 36780 39534 40458 65890 67430 79068 80916 98835 101145 131780 134860 197670 202290 367187 395340 404580 734374 1101561 1468748 1835935 2203122 3671870 4039057 4406244 5507805 7343740 8078114 11015610 12117171 16156228 20195285 22031220 24234342 40390570 48468684 60585855 80781140 121171710 242343420