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4432114330 = 257312042449
BaseRepresentation
bin1000010000010110…
…01011001010011010
3102102212210201212121
410020023023022122
533034110124310
62011443331454
7214555231060
oct41013131232
912385721777
104432114330
1119748a4106
12a38380b8a
135582c8477
143008b8030
151ae17e0da
hex1082cb29a

4432114330 has 32 divisors (see below), whose sum is σ = 9411609600. Its totient is φ = 1470562560.

The previous prime is 4432114289. The next prime is 4432114333. The reversal of 4432114330 is 334112344.

It is a junction number, because it is equal to n+sod(n) for n = 4432114295 and 4432114304.

It is not an unprimeable number, because it can be changed into a prime (4432114333) 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 15 ways as a sum of consecutive naturals, for example, 1019055 + ... + 1023394.

It is an arithmetic number, because the mean of its divisors is an integer number (294112800).

Almost surely, 24432114330 is an apocalyptic number.

4432114330 is an abundant number, since it is smaller than the sum of its proper divisors (4979495270).

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

4432114330 is a wasteful number, since it uses less digits than its factorization.

4432114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042494.

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4432114330 is about 66574.1265808272. The cubic root of 4432114330 is about 1642.6195408256.

Adding to 4432114330 its reverse (334112344), we get a palindrome (4766226674).

The spelling of 4432114330 in words is "four billion, four hundred thirty-two million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 2042449 4084898 10212245 14297143 20424490 28594286 63315919 71485715 126631838 142971430 316579595 443211433 633159190 886422866 2216057165 4432114330