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242430432 = 2533976361
BaseRepresentation
bin11100111001100…
…11000111100000
3121220011202000220
432130303013200
5444030233212
640020043040
76002424156
oct1634630740
9556152026
10242430432
11114933632
1269233480
133b2c217a
14242a93d6
151643b38c
hexe7331e0

242430432 has 48 divisors (see below), whose sum is σ = 638083152. Its totient is φ = 80593920.

The previous prime is 242430403. The next prime is 242430437. The reversal of 242430432 is 234034242.

242430432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242430437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34932 + ... + 41292.

It is an arithmetic number, because the mean of its divisors is an integer number (13293399).

Almost surely, 2242430432 is an apocalyptic number.

It is an amenable number.

242430432 is an abundant number, since it is smaller than the sum of its proper divisors (395652720).

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

242430432 is a wasteful number, since it uses less digits than its factorization.

242430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6763 counting only the distinct ones).

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

The square root of 242430432 is about 15570.1776483122. The cubic root of 242430432 is about 623.5372143908.

Adding to 242430432 its reverse (234034242), we get a palindrome (476464674).

The spelling of 242430432 in words is "two hundred forty-two million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 397 794 1191 1588 2382 3176 4764 6352 6361 9528 12704 12722 19056 19083 25444 38112 38166 50888 76332 101776 152664 203552 305328 610656 2525317 5050634 7575951 10101268 15151902 20202536 30303804 40405072 60607608 80810144 121215216 242430432