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4348107140 = 2251316723489
BaseRepresentation
bin1000000110010101…
…01101100110000100
3102020000201201200012
410003022231212010
532401103412030
61555243005352
7212515205126
oct40312554604
912200651605
104348107140
111931436283
12a14209858
13543a94180
142d368b216
151a6ad8095
hex1032ad984

4348107140 has 24 divisors (see below), whose sum is σ = 9833412120. Its totient is φ = 1605454848.

The previous prime is 4348107109. The next prime is 4348107143. The reversal of 4348107140 is 417018434.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 4347819844 = 536^2 + 65938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4348107097 and 4348107106.

It is not an unprimeable number, because it can be changed into a prime (4348107143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8361485 + ... + 8362004.

It is an arithmetic number, because the mean of its divisors is an integer number (409725505).

Almost surely, 24348107140 is an apocalyptic number.

It is an amenable number.

4348107140 is an abundant number, since it is smaller than the sum of its proper divisors (5485304980).

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

4348107140 is a wasteful number, since it uses less digits than its factorization.

4348107140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16723511 (or 16723509 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4348107140 is about 65940.1784953605. The cubic root of 4348107140 is about 1632.1750906476.

The spelling of 4348107140 in words is "four billion, three hundred forty-eight million, one hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 16723489 33446978 66893956 83617445 167234890 217405357 334469780 434810714 869621428 1087026785 2174053570 4348107140