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242330424 = 23376721529
BaseRepresentation
bin11100111000110…
…10101100111000
3121212222122211220
432130122230320
5444014033144
640013552040
76001526460
oct1634325470
9555878756
10242330424
11114875486
12691a5620
133b2887ab
1424280ba0
151641b919
hexe71ab38

242330424 has 64 divisors (see below), whose sum is σ = 702739200. Its totient is φ = 68200704.

The previous prime is 242330399. The next prime is 242330443. The reversal of 242330424 is 424033242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242330394 and 242330403.

It is a congruent number.

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, 492 + ... + 22020.

It is an arithmetic number, because the mean of its divisors is an integer number (10980300).

Almost surely, 2242330424 is an apocalyptic number.

242330424 is a gapful number since it is divisible by the number (24) 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 242330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351369600).

242330424 is an abundant number, since it is smaller than the sum of its proper divisors (460408776).

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

242330424 is a wasteful number, since it uses less digits than its factorization.

242330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612 (or 21608 counting only the distinct ones).

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

The square root of 242330424 is about 15566.9657929861. The cubic root of 242330424 is about 623.4514615613.

Adding to 242330424 its reverse (424033242), we get a palindrome (666363666).

The spelling of 242330424 in words is "two hundred forty-two million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 21529 43058 64587 86116 129174 150703 172232 258348 301406 452109 516696 602812 904218 1205624 1442443 1808436 2884886 3616872 4327329 5769772 8654658 10097101 11539544 17309316 20194202 30291303 34618632 40388404 60582606 80776808 121165212 242330424