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242302470 = 23523433811
BaseRepresentation
bin11100111000100…
…11111000000110
3121212221020111120
432130103320012
5444012134340
640013214410
76001352124
oct1634237006
9555836446
10242302470
11114856483
1269191406
133b278b57
1424274914
15164134d0
hexe713e06

242302470 has 64 divisors (see below), whose sum is σ = 608961024. Its totient is φ = 61585920.

The previous prime is 242302469. The next prime is 242302477. The reversal of 242302470 is 74203242.

242302470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242302470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242302477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298365 + ... + 299175.

It is an arithmetic number, because the mean of its divisors is an integer number (9515016).

Almost surely, 2242302470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242302470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304480512).

242302470 is an abundant number, since it is smaller than the sum of its proper divisors (366658554).

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

242302470 is a wasteful number, since it uses less digits than its factorization.

242302470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242302470 is about 15566.0679042589. The cubic root of 242302470 is about 623.4274879140.

The spelling of 242302470 in words is "two hundred forty-two million, three hundred two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 433 690 811 866 1299 1622 2165 2433 2598 4055 4330 4866 6495 8110 9959 12165 12990 18653 19918 24330 29877 37306 49795 55959 59754 93265 99590 111918 149385 186530 279795 298770 351163 559590 702326 1053489 1755815 2106978 3511630 5267445 8076749 10534890 16153498 24230247 40383745 48460494 80767490 121151235 242302470