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4340381641 = 193111365213
BaseRepresentation
bin1000000101011010…
…01111011111001001
3102012111012020021121
410002231033133021
532342114203031
61554405235241
7212362430611
oct40255173711
912174166247
104340381641
111928039a72
12a11702b21
135422ba97b
142d2639a41
151a60ae011
hex102b4f7c9

4340381641 has 16 divisors (see below), whose sum is σ = 4758013440. Its totient is φ = 3944021760.

The previous prime is 4340381623. The next prime is 4340381653. The reversal of 4340381641 is 1461830434.

It is a cyclic number.

It is not a de Polignac number, because 4340381641 - 223 = 4331993033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4340381597 and 4340381606.

It is not an unprimeable number, because it can be changed into a prime (4340381611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33951 + ... + 99163.

It is an arithmetic number, because the mean of its divisors is an integer number (297375840).

Almost surely, 24340381641 is an apocalyptic number.

It is an amenable number.

4340381641 is a deficient number, since it is larger than the sum of its proper divisors (417631799).

4340381641 is a wasteful number, since it uses less digits than its factorization.

4340381641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65376.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4340381641 is about 65881.5728485591. The cubic root of 4340381641 is about 1631.2078619278.

The spelling of 4340381641 in words is "four billion, three hundred forty million, three hundred eighty-one thousand, six hundred forty-one".

Divisors: 1 19 31 113 589 2147 3503 65213 66557 1239047 2021603 7369069 38410457 140012311 228441139 4340381641