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4314001345 = 517411237877
BaseRepresentation
bin1000000010010001…
…00110111111000001
3102010122112222022121
410001020212333001
532313341020340
61552024004241
7211622256253
oct40110467701
912118488277
104314001345
111914161075
12a04900681
135399b2424
142ccd2dcd3
151a3aec94a
hex101226fc1

4314001345 has 16 divisors (see below), whose sum is σ = 5615014608. Its totient is φ = 3168962560.

The previous prime is 4314001309. The next prime is 4314001369. The reversal of 4314001345 is 5431004134.

It can be written as a sum of positive squares in 8 ways, for example, as 26501904 + 4287499441 = 5148^2 + 65479^2 .

It is not a de Polignac number, because 4314001345 - 217 = 4313870273 is a prime.

It is a super-3 number, since 3×43140013453 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615454 + ... + 622423.

It is an arithmetic number, because the mean of its divisors is an integer number (350938413).

Almost surely, 24314001345 is an apocalyptic number.

It is an amenable number.

4314001345 is a deficient number, since it is larger than the sum of its proper divisors (1301013263).

4314001345 is a wasteful number, since it uses less digits than its factorization.

4314001345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237940.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4314001345 is about 65681.0577335658. The cubic root of 4314001345 is about 1627.8963848969.

Adding to 4314001345 its reverse (5431004134), we get a palindrome (9745005479).

The spelling of 4314001345 in words is "four billion, three hundred fourteen million, one thousand, three hundred forty-five".

Divisors: 1 5 17 41 85 205 697 3485 1237877 6189385 21043909 50752957 105219545 253764785 862800269 4314001345