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242435130 = 235717591151
BaseRepresentation
bin11100111001101…
…00010000111010
3121220011222110220
432130310100322
5444030411010
640020120510
76002443650
oct1634642072
9556158426
10242435130
11114937113
1269236136
133b2c4352
14242aadd0
151643c970
hexe73443a

242435130 has 128 divisors (see below), whose sum is σ = 716636160. Its totient is φ = 51225600.

The previous prime is 242435129. The next prime is 242435153. The reversal of 242435130 is 31534242.

242435130 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 242435130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210055 + ... + 211205.

It is an arithmetic number, because the mean of its divisors is an integer number (5598720).

Almost surely, 2242435130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242435130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358318080).

242435130 is an abundant number, since it is smaller than the sum of its proper divisors (474201030).

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

242435130 is a wasteful number, since it uses less digits than its factorization.

242435130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 242435130 is about 15570.3285129120. The cubic root of 242435130 is about 623.5412421565.

Adding to 242435130 its reverse (31534242), we get a palindrome (273969372).

The spelling of 242435130 in words is "two hundred forty-two million, four hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 59 70 85 102 105 118 119 170 177 210 238 255 295 354 357 413 510 590 595 714 826 885 1003 1151 1190 1239 1770 1785 2006 2065 2302 2478 3009 3453 3570 4130 5015 5755 6018 6195 6906 7021 8057 10030 11510 12390 14042 15045 16114 17265 19567 21063 24171 30090 34530 35105 39134 40285 42126 48342 58701 67909 70210 80570 97835 105315 117402 120855 135818 136969 195670 203727 210630 241710 273938 293505 339545 407454 410907 475363 587010 679090 684845 821814 950726 1018635 1154453 1369690 1426089 2037270 2054535 2308906 2376815 2852178 3463359 4109070 4753630 5772265 6926718 7130445 8081171 11544530 14260890 16162342 17316795 24243513 34633590 40405855 48487026 80811710 121217565 242435130