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242834466 = 23779163449
BaseRepresentation
bin11100111100101…
…01110000100010
3121220221021021010
432132111300202
5444131200331
640032441350
76006026130
oct1636256042
9556837233
10242834466
1111508a146
12693a9256
133b404044
1424372750
15164bae46
hexe795c22

242834466 has 64 divisors (see below), whose sum is σ = 566784000. Its totient is φ = 67931136.

The previous prime is 242834447. The next prime is 242834507. The reversal of 242834466 is 664438242.

242834466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540610 + ... + 541058.

It is an arithmetic number, because the mean of its divisors is an integer number (8856000).

Almost surely, 2242834466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242834466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283392000).

242834466 is an abundant number, since it is smaller than the sum of its proper divisors (323949534).

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

242834466 is a wasteful number, since it uses less digits than its factorization.

242834466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its digits is 221184, while the sum is 39.

The square root of 242834466 is about 15583.1468580643. The cubic root of 242834466 is about 623.8834173637.

The spelling of 242834466 in words is "two hundred forty-two million, eight hundred thirty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 79 158 163 237 326 449 474 489 553 898 978 1106 1141 1347 1659 2282 2694 3143 3318 3423 6286 6846 9429 12877 18858 25754 35471 38631 70942 73187 77262 90139 106413 146374 180278 212826 219561 248297 270417 439122 496594 512309 540834 744891 1024618 1489782 1536927 3073854 5781773 11563546 17345319 34690638 40472411 80944822 121417233 242834466