Search a number
-
+
3104220042 = 2327115574021
BaseRepresentation
bin1011100100000110…
…1010001110001010
322000100010201100200
42321001222032022
522324140020132
61232010113030
7136632302130
oct27101521612
98010121320
103104220042
111353284510
1272771b776
133a6174ac1
142163b5750
151327cdd7c
hexb906a38a

3104220042 has 96 divisors (see below), whose sum is σ = 8402569344. Its totient is φ = 804643200.

The previous prime is 3104220029. The next prime is 3104220079. The reversal of 3104220042 is 2400224013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3104219997 and 3104220024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769992 + ... + 774012.

It is an arithmetic number, because the mean of its divisors is an integer number (87526764).

Almost surely, 23104220042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3104220042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201284672).

3104220042 is an abundant number, since it is smaller than the sum of its proper divisors (5298349302).

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

3104220042 is a wasteful number, since it uses less digits than its factorization.

3104220042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3104220042 is about 55715.5278356043. The cubic root of 3104220042 is about 1458.7610747612.

Adding to 3104220042 its reverse (2400224013), we get a palindrome (5504444055).

The spelling of 3104220042 in words is "three billion, one hundred four million, two hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 557 693 1114 1386 1671 3342 3899 4021 5013 6127 7798 8042 10026 11697 12063 12254 18381 23394 24126 28147 35091 36189 36762 42889 44231 55143 56294 70182 72378 84441 85778 88462 110286 128667 132693 168882 253323 257334 265386 309617 386001 398079 506646 619234 772002 796158 928851 1857702 2239697 2786553 4479394 5573106 6719091 13438182 15677879 20157273 24636667 31355758 40314546 47033637 49273334 73910001 94067274 141100911 147820002 172456669 221730003 282201822 344913338 443460006 517370007 1034740014 1552110021 3104220042