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3705434641 = 113102132117
BaseRepresentation
bin1101110011011100…
…0111001000010001
3100120020102120202001
43130313013020101
530042042402031
61411404154001
7160552450306
oct33467071021
910506376661
103705434641
111631691987
12874b38901
134708a749c
142721970ad
1516a48b861
hexdcdc7211

3705434641 has 8 divisors (see below), whose sum is σ = 3742003944. Its totient is φ = 3668931840.

The previous prime is 3705434639. The next prime is 3705434659. The reversal of 3705434641 is 1464345073.

3705434641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 185504400 + 3519930241 = 13620^2 + 59329^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3705434641 - 21 = 3705434639 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3705434641.

It is not an unprimeable number, because it can be changed into a prime (3705434611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99315 + ... + 131431.

It is an arithmetic number, because the mean of its divisors is an integer number (467750493).

Almost surely, 23705434641 is an apocalyptic number.

It is an amenable number.

3705434641 is a deficient number, since it is larger than the sum of its proper divisors (36569303).

3705434641 is a wasteful number, since it uses less digits than its factorization.

3705434641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33251.

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 3705434641 is about 60872.2813848799. The cubic root of 3705434641 is about 1547.4372693089.

The spelling of 3705434641 in words is "three billion, seven hundred five million, four hundred thirty-four thousand, six hundred forty-one".

Divisors: 1 113 1021 32117 115373 3629221 32791457 3705434641