Search a number
-
+
4373328384 = 29327313001
BaseRepresentation
bin1000001001010101…
…11011001000000000
3102021210012002201100
410010222323020000
532424033002014
62001543334400
7213242451345
oct40452731000
912253162640
104373328384
1119446a2387
12a20751400
13549084c99
142d6b747cc
151a8e1b009
hex104abb200

4373328384 has 120 divisors (see below), whose sum is σ = 12795606252. Its totient is φ = 1437696000.

The previous prime is 4373328371. The next prime is 4373328391. The reversal of 4373328384 is 4838233734.

It can be written as a sum of positive squares in 2 ways, for example, as 3984134400 + 389193984 = 63120^2 + 19728^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329884 + ... + 342884.

Almost surely, 24373328384 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 4373328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397803126).

4373328384 is an abundant number, since it is smaller than the sum of its proper divisors (8422277868).

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

4373328384 is a wasteful number, since it uses less digits than its factorization.

4373328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098 (or 13079 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4373328384 is about 66131.1453401497. The cubic root of 4373328384 is about 1635.3248250624.

The spelling of 4373328384 in words is "four billion, three hundred seventy-three million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1152 1168 1314 1536 1752 2304 2336 2628 3504 4608 4672 5256 7008 9344 10512 13001 14016 18688 21024 26002 28032 37376 39003 42048 52004 56064 78006 84096 104008 112128 117009 156012 168192 208016 234018 312024 336384 416032 468036 624048 832064 936072 949073 1248096 1664128 1872144 1898146 2496192 2847219 3328256 3744288 3796292 4992384 5694438 6656512 7488576 7592584 8541657 9984768 11388876 14977152 15185168 17083314 19969536 22777752 29954304 30370336 34166628 45555504 59908608 60740672 68333256 91111008 121481344 136666512 182222016 242962688 273333024 364444032 485925376 546666048 728888064 1093332096 1457776128 2186664192 4373328384