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4321444240 = 2452312718493
BaseRepresentation
bin1000000011001010…
…00000000110010000
3102011011120010001101
410001211000012100
532322242203430
61552451314144
7212042445541
oct40145000620
912134503041
104321444240
111918385023
12a072ab954
1353b3ba0c9
142cdd0a4c8
151a45bcdca
hex101940190

4321444240 has 80 divisors (see below), whose sum is σ = 10567323648. Its totient is φ = 1640314368.

The previous prime is 4321444177. The next prime is 4321444241. The reversal of 4321444240 is 424441234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4321444199 and 4321444208.

It is not an unprimeable number, because it can be changed into a prime (4321444241) 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, 224434 + ... + 242926.

Almost surely, 24321444240 is an apocalyptic number.

4321444240 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 4321444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283661824).

4321444240 is an abundant number, since it is smaller than the sum of its proper divisors (6245879408).

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

4321444240 is a wasteful number, since it uses less digits than its factorization.

4321444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18656 (or 18650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4321444240 is about 65737.6926884417. The cubic root of 4321444240 is about 1628.8320437399.

Adding to 4321444240 its reverse (424441234), we get a palindrome (4745885474).

The spelling of 4321444240 in words is "four billion, three hundred twenty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 127 184 230 254 368 460 508 635 920 1016 1270 1840 2032 2540 2921 5080 5842 10160 11684 14605 18493 23368 29210 36986 46736 58420 73972 92465 116840 147944 184930 233680 295888 369860 425339 739720 850678 1479440 1701356 2126695 2348611 3402712 4253390 4697222 6805424 8506780 9394444 11743055 17013560 18788888 23486110 34027120 37577776 46972220 54018053 93944440 108036106 187888880 216072212 270090265 432144424 540180530 864288848 1080361060 2160722120 4321444240