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3418857841 = 7283532
BaseRepresentation
bin1100101111000111…
…1010000101110001
322211021011222021111
43023301322011301
524000211422331
61323125553321
7150502545400
oct31361720561
98737158244
103418857841
1114a4946553
127b4b75841
134263c9409
142460b9637
1515022edb1
hexcbc7a171

3418857841 has 9 divisors (see below), whose sum is σ = 3977514891. Its totient is φ = 2930098752.

The previous prime is 3418857833. The next prime is 3418857851. The reversal of 3418857841 is 1487588143.

The square root of 3418857841 is 58471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2255775025 + 1163082816 = 47495^2 + 34104^2 .

It is not a de Polignac number, because 3418857841 - 23 = 3418857833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3418857851) 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 8 ways as a sum of consecutive naturals, for example, 405121 + ... + 413473.

It is an arithmetic number, because the mean of its divisors is an integer number (441946099).

Almost surely, 23418857841 is an apocalyptic number.

3418857841 is the 58471-st square number.

3418857841 is the 29236-th centered octagonal number.

It is an amenable number.

3418857841 is a deficient number, since it is larger than the sum of its proper divisors (558657050).

3418857841 is an frugal number, since it uses more digits than its factorization.

3418857841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16720 (or 8360 counting only the distinct ones).

The product of its digits is 860160, while the sum is 49.

The cubic root of 3418857841 is about 1506.4695147299.

Multiplying 3418857841 by its sum of digits (49), we get a square (167524034209 = 4092972).

3418857841 divided by its sum of digits (49) gives a square (69772609 = 83532).

It can be divided in two parts, 34188 and 57841, that added together give a palindrome (92029).

The spelling of 3418857841 in words is "three billion, four hundred eighteen million, eight hundred fifty-seven thousand, eight hundred forty-one".

Divisors: 1 7 49 8353 58471 409297 69772609 488408263 3418857841