Search a number
-
+
4420304112 = 24373383701
BaseRepresentation
bin1000001110111100…
…00111110011110000
3102102001120201022010
410013132013303300
533023044212422
62010342242520
7214352652000
oct40736076360
912361521263
104420304112
1119691679a4
12a34426440
13555a21983
142dd0c2000
151ad0e9b0c
hex107787cf0

4420304112 has 160 divisors (see below), whose sum is σ = 13370572800. Its totient is φ = 1257849600.

The previous prime is 4420304107. The next prime is 4420304117. The reversal of 4420304112 is 2114030244.

It is an interprime number because it is at equal distance from previous prime (4420304107) and next prime (4420304117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420304117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6305362 + ... + 6306062.

It is an arithmetic number, because the mean of its divisors is an integer number (83566080).

Almost surely, 24420304112 is an apocalyptic number.

4420304112 is a gapful number since it is divisible by the number (42) 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 4420304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685286400).

4420304112 is an abundant number, since it is smaller than the sum of its proper divisors (8950268688).

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

4420304112 is a wasteful number, since it uses less digits than its factorization.

4420304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4420304112 is about 66485.3676533416. The cubic root of 4420304112 is about 1641.1592181009.

Adding to 4420304112 its reverse (2114030244), we get a palindrome (6534334356).

The spelling of 4420304112 in words is "four billion, four hundred twenty million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 383 392 588 686 701 766 784 1029 1149 1176 1372 1402 1532 2058 2103 2298 2352 2681 2744 2804 3064 4116 4206 4596 4907 5362 5488 5608 6128 8043 8232 8412 9192 9814 10724 11216 14721 16086 16464 16824 18384 18767 19628 21448 29442 32172 33648 34349 37534 39256 42896 56301 58884 64344 68698 75068 78512 103047 112602 117768 128688 131369 137396 150136 206094 225204 235536 240443 262738 268483 274792 300272 394107 412188 450408 480886 525476 536966 549584 721329 788214 805449 824376 900816 961772 1050952 1073932 1442658 1576428 1610898 1648752 1879381 1923544 2101904 2147864 2885316 3152856 3221796 3758762 3847088 4295728 5638143 5770632 6305712 6443592 7517524 11276286 11541264 12887184 13155667 15035048 22552572 26311334 30070096 39467001 45105144 52622668 78934002 90210288 92089669 105245336 157868004 184179338 210490672 276269007 315736008 368358676 552538014 631472016 736717352 1105076028 1473434704 2210152056 4420304112