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4440300320 = 25540967853
BaseRepresentation
bin1000010001010100…
…11001101100100000
3102110110012121221102
410020222121230200
533043204102240
62012335013532
7215014633661
oct41052315440
912413177842
104440300320
111979485395
12a3b06a2a8
13559c03451
14301a09368
151aec49815
hex108a99b20

4440300320 has 48 divisors (see below), whose sum is σ = 10516012920. Its totient is φ = 1771751424.

The previous prime is 4440300317. The next prime is 4440300331. The reversal of 4440300320 is 230030444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4420122256 + 20178064 = 66484^2 + 4492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4440300292 and 4440300301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31514 + ... + 99366.

Almost surely, 24440300320 is an apocalyptic number.

4440300320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440300320 is an abundant number, since it is smaller than the sum of its proper divisors (6075712600).

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

4440300320 is a wasteful number, since it uses less digits than its factorization.

4440300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68277 (or 68269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4440300320 is about 66635.5784847704. The cubic root of 4440300320 is about 1643.6302094895.

Adding to 4440300320 its reverse (230030444), we get a palindrome (4670330764).

The spelling of 4440300320 in words is "four billion, four hundred forty million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 409 818 1636 2045 3272 4090 6544 8180 13088 16360 32720 65440 67853 135706 271412 339265 542824 678530 1085648 1357060 2171296 2714120 5428240 10856480 27751877 55503754 111007508 138759385 222015016 277518770 444030032 555037540 888060064 1110075080 2220150160 4440300320