Search a number
-
+
2416204336 = 2471313712113
BaseRepresentation
bin1001000000000100…
…0101101000110000
320020101111220020111
42100001011220300
514422022014321
61035431351104
7113606253340
oct22001055060
96211456214
102416204336
11102a980097
12575222494
132c6770510
1418cc7ad20
15e21c75e1
hex90045a30

2416204336 has 80 divisors (see below), whose sum is σ = 5804253504. Its totient is φ = 948805632.

The previous prime is 2416204319. The next prime is 2416204363. The reversal of 2416204336 is 6334026142.

It is a junction number, because it is equal to n+sod(n) for n = 2416204298 and 2416204307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193416 + ... + 205528.

Almost surely, 22416204336 is an apocalyptic number.

2416204336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416204336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902126752).

2416204336 is an abundant number, since it is smaller than the sum of its proper divisors (3388049168).

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

2416204336 is a wasteful number, since it uses less digits than its factorization.

2416204336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2416204336 is about 49154.9014443117. The cubic root of 2416204336 is about 1341.8723984211.

The spelling of 2416204336 in words is "two billion, four hundred sixteen million, two hundred four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 274 364 548 728 959 1096 1456 1781 1918 2192 3562 3836 7124 7672 12113 12467 14248 15344 24226 24934 28496 48452 49868 84791 96904 99736 157469 169582 193808 199472 314938 339164 629876 678328 1102283 1259752 1356656 1659481 2204566 2519504 3318962 4409132 6637924 8818264 11616367 13275848 17636528 21573253 23232734 26551696 43146506 46465468 86293012 92930936 151012771 172586024 185861872 302025542 345172048 604051084 1208102168 2416204336