Search a number
-
+
242656330 = 25722112347
BaseRepresentation
bin11100111011010…
…10010001001010
3121220121012220111
432131222101022
5444110000310
640024544534
76004354600
oct1635522112
9556535814
10242656330
11114a78324
126932214a
133b370c37
1424327870
151648328a
hexe76a44a

242656330 has 48 divisors (see below), whose sum is σ = 510718176. Its totient is φ = 82766880.

The previous prime is 242656301. The next prime is 242656343. The reversal of 242656330 is 33656242.

It is a happy number.

242656330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242656292 and 242656301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102217 + ... + 104563.

It is an arithmetic number, because the mean of its divisors is an integer number (10639962).

Almost surely, 2242656330 is an apocalyptic number.

242656330 is an abundant number, since it is smaller than the sum of its proper divisors (268061846).

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

242656330 is a wasteful number, since it uses less digits than its factorization.

242656330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 242656330 is about 15577.4301474922. The cubic root of 242656330 is about 623.7308260606.

The spelling of 242656330 in words is "two hundred forty-two million, six hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 211 245 422 490 1055 1477 2110 2347 2954 4694 7385 10339 11735 14770 16429 20678 23470 32858 51695 82145 103390 115003 164290 230006 495217 575015 990434 1150030 2476085 3466519 4952170 6933038 17332595 24265633 34665190 48531266 121328165 242656330