Search a number
-
+
242335044 = 223371916871
BaseRepresentation
bin11100111000110…
…11110101000100
3121212222220012000
432130123311010
5444014210134
640014025300
76001546110
oct1634336504
9555886160
10242335044
111148789a6
12691a8230
133b28a923
1424282740
151641ce99
hexe71bd44

242335044 has 96 divisors (see below), whose sum is σ = 755865600. Its totient is φ = 65590560.

The previous prime is 242335043. The next prime is 242335069. The reversal of 242335044 is 440533242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242334999 and 242335017.

It is not an unprimeable number, because it can be changed into a prime (242335043) 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, 5929 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (7873600).

Almost surely, 2242335044 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 242335044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377932800).

242335044 is an abundant number, since it is smaller than the sum of its proper divisors (513530556).

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

242335044 is a wasteful number, since it uses less digits than its factorization.

242335044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16902 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242335044 is about 15567.1141834317. The cubic root of 242335044 is about 623.4554235449.

Adding to 242335044 its reverse (440533242), we get a palindrome (682868286).

The spelling of 242335044 in words is "two hundred forty-two million, three hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 16871 33742 50613 67484 101226 118097 151839 202452 236194 303678 320549 354291 455517 472388 607356 641098 708582 911034 961647 1062873 1282196 1417164 1822068 1923294 2125746 2243843 2884941 3188619 3846588 4251492 4487686 5769882 6377238 6731529 8654823 8975372 11539764 12754476 13463058 17309646 20194587 26926116 34619292 40389174 60583761 80778348 121167522 242335044