Search a number
-
+
4401342720 = 28325382061
BaseRepresentation
bin1000001100101011…
…10010100100000000
3102100201220101011100
410012111302210000
533003220431340
62004424014400
7214032536655
oct40625624400
912321811140
104401342720
111959496a25
12a2a001400
13551b13208
142da787c2c
151ab601830
hex106572900

4401342720 has 108 divisors (see below), whose sum is σ = 15228227196. Its totient is φ = 1173688320.

The previous prime is 4401342713. The next prime is 4401342727. The reversal of 4401342720 is 272431044.

It is an interprime number because it is at equal distance from previous prime (4401342713) and next prime (4401342727).

It can be written as a sum of positive squares in 2 ways, for example, as 994519296 + 3406823424 = 31536^2 + 58368^2 .

It is not an unprimeable number, because it can be changed into a prime (4401342727) by changing a digit.

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, 179511 + ... + 202550.

Almost surely, 24401342720 is an apocalyptic number.

4401342720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401342720 is an abundant number, since it is smaller than the sum of its proper divisors (10826884476).

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

4401342720 is a wasteful number, since it uses less digits than its factorization.

4401342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382088 (or 382071 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4401342720 is about 66342.6161678902. The cubic root of 4401342720 is about 1638.8092089543.

Adding to 4401342720 its reverse (272431044), we get a palindrome (4673773764).

The spelling of 4401342720 in words is "four billion, four hundred one million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 382061 764122 1146183 1528244 1910305 2292366 3056488 3438549 3820610 4584732 5730915 6112976 6877098 7641220 9169464 11461830 12225952 13754196 15282440 17192745 18338928 22923660 24451904 27508392 30564880 34385490 36677856 45847320 48903808 55016784 61129760 68770980 73355712 91694640 97807616 110033568 122259520 137541960 146711424 183389280 220067136 244519040 275083920 293422848 366778560 440134272 489038080 550167840 733557120 880268544 1100335680 1467114240 2200671360 4401342720