Search a number
-
+
2324120416 = 25433115431
BaseRepresentation
bin1000101010000111…
…0100001101100000
312222222020112211221
42022201310031200
514224433323131
61022341544424
7111410461162
oct21241641540
95888215757
102324120416
11a929a6082
1254a415114
132b066bba7
1418094a932
15d9088411
hex8a874360

2324120416 has 48 divisors (see below), whose sum is σ = 4697941248. Its totient is φ = 1131177600.

The previous prime is 2324120411. The next prime is 2324120419. The reversal of 2324120416 is 6140214232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324120411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425221 + ... + 430651.

It is an arithmetic number, because the mean of its divisors is an integer number (97873776).

Almost surely, 22324120416 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 2324120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348970624).

2324120416 is an abundant number, since it is smaller than the sum of its proper divisors (2373820832).

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

2324120416 is a wasteful number, since it uses less digits than its factorization.

2324120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2324120416 is about 48209.1320809657. The cubic root of 2324120416 is about 1324.6044464931.

Adding to 2324120416 its reverse (6140214232), we get a palindrome (8464334648).

The spelling of 2324120416 in words is "two billion, three hundred twenty-four million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 86 172 311 344 622 688 1244 1376 2488 4976 5431 9952 10862 13373 21724 26746 43448 53492 86896 106984 173792 213968 233533 427936 467066 934132 1689041 1868264 3378082 3736528 6756164 7473056 13512328 27024656 54049312 72628763 145257526 290515052 581030104 1162060208 2324120416