Search a number
-
+
242870688 = 2532843301
BaseRepresentation
bin11100111100111…
…10100110100000
3121221000002221200
432132132212200
5444133330223
640033321200
76006236544
oct1636364640
9557002850
10242870688
11115104385
1269406200
133b417688
1424381a24
15164c6a43
hexe79e9a0

242870688 has 36 divisors (see below), whose sum is σ = 690664338. Its totient is φ = 80956800.

The previous prime is 242870681. The next prime is 242870689. The reversal of 242870688 is 886078242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 207014544 + 35856144 = 14388^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (242870681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421363 + ... + 421938.

Almost surely, 2242870688 is an apocalyptic number.

It is an amenable number.

242870688 is an abundant number, since it is smaller than the sum of its proper divisors (447793650).

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

242870688 is a wasteful number, since it uses less digits than its factorization.

242870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843317 (or 843306 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 242870688 is about 15584.3090318435. The cubic root of 242870688 is about 623.9144359996.

The spelling of 242870688 in words is "two hundred forty-two million, eight hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 843301 1686602 2529903 3373204 5059806 6746408 7589709 10119612 13492816 15179418 20239224 26985632 30358836 40478448 60717672 80956896 121435344 242870688