Search a number
-
+
2316400641 = 326122632
BaseRepresentation
bin1000101000010001…
…0111100000000001
312222102201100022100
42022010113200001
514220444310031
61021504301013
7111255036432
oct21204274001
95872640270
102316400641
11a896030a5
12547911769
132abb98189
1417d8db489
15d8560de6
hex8a117801

2316400641 has 27 divisors (see below), whose sum is σ = 3414645507. Its totient is φ = 1513175760.

The previous prime is 2316400601. The next prime is 2316400649. The reversal of 2316400641 is 1460046132.

The square root of 2316400641 is 48129.

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

2316400641 is a `hidden beast` number, since 2 + 3 + 16 + 4 + 0 + 0 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75325041 + 2241075600 = 8679^2 + 47340^2 .

It is not a de Polignac number, because 2316400641 - 29 = 2316400129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2316400649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8807476 + ... + 8807738.

Almost surely, 22316400641 is an apocalyptic number.

2316400641 is the 48129-th square number.

2316400641 is the 24065-th centered octagonal number.

It is an amenable number.

2316400641 is a deficient number, since it is larger than the sum of its proper divisors (1098244866).

2316400641 is an frugal number, since it uses more digits than its factorization.

2316400641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 2316400641 is about 1323.1362220754.

Adding to 2316400641 its reverse (1460046132), we get a palindrome (3776446773).

The spelling of 2316400641 in words is "two billion, three hundred sixteen million, four hundred thousand, six hundred forty-one".

Divisors: 1 3 9 61 183 263 549 789 2367 3721 11163 16043 33489 48129 69169 144387 207507 622521 978623 2935869 4219309 8807607 12657927 37973781 257377849 772133547 2316400641