Search a number
-
+
242308206 = 23372692383
BaseRepresentation
bin11100111000101…
…01010001101110
3121212221112101000
432130111101232
5444012330311
640013301130
76001404630
oct1634252156
9555845330
10242308206
1111485a818
12691947a6
133b27b64a
1424276a50
1516415056
hexe71546e

242308206 has 64 divisors (see below), whose sum is σ = 617932800. Its totient is φ = 68944608.

The previous prime is 242308193. The next prime is 242308207. The reversal of 242308206 is 602803242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 242308206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242308207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100491 + ... + 102873.

It is an arithmetic number, because the mean of its divisors is an integer number (9655200).

Almost surely, 2242308206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242308206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308966400).

242308206 is an abundant number, since it is smaller than the sum of its proper divisors (375624594).

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

242308206 is a wasteful number, since it uses less digits than its factorization.

242308206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242308206 is about 15566.2521500842. The cubic root of 242308206 is about 623.4324073189.

The spelling of 242308206 in words is "two hundred forty-two million, three hundred eight thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 269 378 538 807 1614 1883 2383 2421 3766 4766 4842 5649 7149 7263 11298 14298 14526 16681 16947 21447 33362 33894 42894 50043 50841 64341 100086 101682 128682 150129 300258 450387 641027 900774 1282054 1923081 3846162 4487189 5769243 8974378 11538486 13461567 17307729 26923134 34615458 40384701 80769402 121154103 242308206