Search a number
-
+
2316640416 = 25331225111
BaseRepresentation
bin1000101000010101…
…0010000010100000
312222110011112012220
42022011102002200
514221024443131
61021513351040
7111260055456
oct21205220240
95873145186
102316640416
11a89757262
12547a08480
132abc5035c
1417d9609d6
15d85abe96
hex8a1520a0

2316640416 has 72 divisors (see below), whose sum is σ = 6283926432. Its totient is φ = 747273600.

The previous prime is 2316640399. The next prime is 2316640433. The reversal of 2316640416 is 6140466132.

It is an interprime number because it is at equal distance from previous prime (2316640399) and next prime (2316640433).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79701 + ... + 104811.

It is an arithmetic number, because the mean of its divisors is an integer number (87276756).

Almost surely, 22316640416 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 2316640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141963216).

2316640416 is an abundant number, since it is smaller than the sum of its proper divisors (3967286016).

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

2316640416 is a wasteful number, since it uses less digits than its factorization.

2316640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25186 (or 25147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2316640416 is about 48131.4908973325. The cubic root of 2316640416 is about 1323.1818739423.

The spelling of 2316640416 in words is "two billion, three hundred sixteen million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 5766 7688 11532 15376 23064 25111 30752 46128 50222 75333 92256 100444 150666 200888 301332 401776 602664 778441 803552 1205328 1556882 2335323 2410656 3113764 4670646 6227528 9341292 12455056 18682584 24131671 24910112 37365168 48263342 72395013 74730336 96526684 144790026 193053368 289580052 386106736 579160104 772213472 1158320208 2316640416