Search a number
-
+
242104770 = 23252690053
BaseRepresentation
bin11100110111000…
…11100111000010
3121212120012022100
432123203213002
5443434323040
640005051230
75666566545
oct1633434702
9555505270
10242104770
11114730996
12690b6b16
133b209b7b
142422285c
15163c4b30
hexe6e39c2

242104770 has 24 divisors (see below), whose sum is σ = 629472636. Its totient is φ = 64561248.

The previous prime is 242104757. The next prime is 242104781. The reversal of 242104770 is 77401242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 213364449 + 28740321 = 14607^2 + 5361^2 .

It is a super-3 number, since 3×2421047703 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344937 + ... + 1345116.

Almost surely, 2242104770 is an apocalyptic number.

242104770 is an abundant number, since it is smaller than the sum of its proper divisors (387367866).

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

242104770 is a wasteful number, since it uses less digits than its factorization.

242104770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690066 (or 2690063 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 242104770 is about 15559.7162570530. The cubic root of 242104770 is about 623.2578856385.

The spelling of 242104770 in words is "two hundred forty-two million, one hundred four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2690053 5380106 8070159 13450265 16140318 24210477 26900530 40350795 48420954 80701590 121052385 242104770