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3031420320 = 2532510512003
BaseRepresentation
bin1011010010101111…
…1100110110100000
321211021011002220200
42310223330312200
522202020422240
61220445505200
7135056435055
oct26453746640
97737132820
103031420320
111316180a55
12707272200
13394065b46
1420a86502c
1512b1ed930
hexb4afcda0

3031420320 has 144 divisors (see below), whose sum is σ = 10359734112. Its totient is φ = 807206400.

The previous prime is 3031420279. The next prime is 3031420333. The reversal of 3031420320 is 230241303.

3031420320 is a `hidden beast` number, since 30 + 314 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3031420293 and 3031420302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1512439 + ... + 1514441.

It is an arithmetic number, because the mean of its divisors is an integer number (71942598).

Almost surely, 23031420320 is an apocalyptic number.

3031420320 is a gapful number since it is divisible by the number (30) 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 3031420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179867056).

3031420320 is an abundant number, since it is smaller than the sum of its proper divisors (7328313792).

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

3031420320 is a wasteful number, since it uses less digits than its factorization.

3031420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3031420320 is about 55058.3356086978. The cubic root of 3031420320 is about 1447.2671983700.

Adding to 3031420320 its reverse (230241303), we get a palindrome (3261661623).

The spelling of 3031420320 in words is "three billion, thirty-one million, four hundred twenty thousand, three 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 72 80 90 96 120 144 160 180 240 288 360 480 720 1051 1440 2003 2102 3153 4006 4204 5255 6009 6306 8012 8408 9459 10015 10510 12018 12612 15765 16024 16816 18027 18918 20030 21020 24036 25224 30045 31530 32048 33632 36054 37836 40060 42040 47295 48072 50448 60090 63060 64096 72108 75672 80120 84080 90135 94590 96144 100896 120180 126120 144216 151344 160240 168160 180270 189180 192288 240360 252240 288432 302688 320480 360540 378360 480720 504480 576864 721080 756720 961440 1442160 1513440 2105153 2884320 4210306 6315459 8420612 10525765 12630918 16841224 18946377 21051530 25261836 31577295 33682448 37892754 42103060 50523672 63154590 67364896 75785508 84206120 94731885 101047344 126309180 151571016 168412240 189463770 202094688 252618360 303142032 336824480 378927540 505236720 606284064 757855080 1010473440 1515710160 3031420320