Search a number
-
+
242734608 = 24322237559
BaseRepresentation
bin11100111011111…
…01011000010000
3121220202012021200
432131331120100
5444120001413
640030351200
76005132034
oct1635753020
9556665250
10242734608
11115021116
126935b500
133b39a75c
14243481c4
151649b573
hexe77d610

242734608 has 60 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 80538048.

The previous prime is 242734589. The next prime is 242734621. The reversal of 242734608 is 806437242.

242734608 is a `hidden beast` number, since 2 + 42 + 7 + 3 + 4 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28333 + ... + 35891.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2242734608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242734608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

242734608 is an abundant number, since it is smaller than the sum of its proper divisors (439721712).

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

242734608 is a wasteful number, since it uses less digits than its factorization.

242734608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242734608 is about 15579.9424902661. The cubic root of 242734608 is about 623.7978881925.

It can be divided in two parts, 242734 and 608, that added together give a palindrome (243342).

The spelling of 242734608 in words is "two hundred forty-two million, seven hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2676 3568 4014 5352 7559 8028 10704 15118 16056 22677 30236 32112 45354 60472 68031 90708 120944 136062 181416 272124 362832 544248 1088496 1685657 3371314 5056971 6742628 10113942 13485256 15170913 20227884 26970512 30341826 40455768 60683652 80911536 121367304 242734608