Search a number
-
+
2416312336 = 24122892
BaseRepresentation
bin1001000000000110…
…0000000000010000
320020101201101101111
42100001200000100
514422033443321
61035433543104
7113610213244
oct22001400020
96211641344
102416312336
11102aa44249
12575274a94
132c67aa719
1418cca8424
15e21e95e1
hex90060010

2416312336 has 15 divisors (see below), whose sum is σ = 4681986141. Its totient is φ = 1208057856.

The previous prime is 2416312333. The next prime is 2416312361. The reversal of 2416312336 is 6332136142.

The square root of 2416312336 is 49156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1949752336 + 466560000 = 44156^2 + 21600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2416312298 and 2416312307.

It is not an unprimeable number, because it can be changed into a prime (2416312333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 190480 + ... + 202768.

Almost surely, 22416312336 is an apocalyptic number.

2416312336 is the 49156-th square number.

It is an amenable number.

2416312336 is a deficient number, since it is larger than the sum of its proper divisors (2265673805).

2416312336 is an frugal number, since it uses more digits than its factorization.

2416312336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24586 (or 12291 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The cubic root of 2416312336 is about 1341.8923912197.

Adding to 2416312336 its reverse (6332136142), we get a palindrome (8748448478).

The spelling of 2416312336 in words is "two billion, four hundred sixteen million, three hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 12289 24578 49156 98312 196624 151019521 302039042 604078084 1208156168 2416312336