Search a number
-
+
4305041440 = 255721118217
BaseRepresentation
bin1000000001001100…
…11011100000100000
3102010000200202122021
410000212123200200
532304042311230
61551103551224
7211453151140
oct40046334040
912100622567
104305041440
11190a0a1397
12a018bb514
13537b960cb
142cba7a920
151a2e2cc7a
hex10099b820

4305041440 has 96 divisors (see below), whose sum is σ = 11679341184. Its totient is φ = 1468938240.

The previous prime is 4305041417. The next prime is 4305041443. The reversal of 4305041440 is 441405034.

It is not an unprimeable number, because it can be changed into a prime (4305041443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227212 + ... + 245428.

It is an arithmetic number, because the mean of its divisors is an integer number (121659804).

Almost surely, 24305041440 is an apocalyptic number.

4305041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4305041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839670592).

4305041440 is an abundant number, since it is smaller than the sum of its proper divisors (7374299744).

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

4305041440 is a wasteful number, since it uses less digits than its factorization.

4305041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4305041440 is about 65612.8146020272. The cubic root of 4305041440 is about 1626.7685915112.

Adding to 4305041440 its reverse (441405034), we get a palindrome (4746446474).

The spelling of 4305041440 in words is "four billion, three hundred five million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 211 224 280 422 560 844 1055 1120 1477 1688 2110 2954 3376 4220 5908 6752 7385 8440 11816 14770 16880 18217 23632 29540 33760 36434 47264 59080 72868 91085 118160 127519 145736 182170 236320 255038 291472 364340 510076 582944 637595 728680 1020152 1275190 1457360 2040304 2550380 2914720 3843787 4080608 5100760 7687574 10201520 15375148 19218935 20403040 26906509 30750296 38437870 53813018 61500592 76875740 107626036 123001184 134532545 153751480 215252072 269065090 307502960 430504144 538130180 615005920 861008288 1076260360 2152520720 4305041440