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242343414 = 2353713477
BaseRepresentation
bin11100111000111…
…01110111110110
3121220000022200000
432130131313312
5444014442124
640014132130
76001612365
oct1634356766
9556008600
10242343414
11114884215
12691b1046
133b291691
14242857dc
15164206c9
hexe71ddf6

242343414 has 48 divisors (see below), whose sum is σ = 559283088. Its totient is φ = 78592032.

The previous prime is 242343407. The next prime is 242343419. The reversal of 242343414 is 414343242.

It is a happy number.

242343414 is a `hidden beast` number, since 242 + 3 + 4 + 3 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242343419) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11244 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (11651731).

Almost surely, 2242343414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242343414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279641544).

242343414 is an abundant number, since it is smaller than the sum of its proper divisors (316939674).

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

242343414 is a wasteful number, since it uses less digits than its factorization.

242343414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13531 (or 13519 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 242343414 is about 15567.3830170649. The cubic root of 242343414 is about 623.4626012959.

Adding to 242343414 its reverse (414343242), we get a palindrome (656686656).

The spelling of 242343414 in words is "two hundred forty-two million, three hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 8991 13477 17982 26954 40431 80862 121293 242586 363879 498649 727758 997298 1091637 1495947 2183274 2991894 3274911 4487841 6549822 8975682 13463523 26927046 40390569 80781138 121171707 242343414