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3744816241 = 9741339341
BaseRepresentation
bin1101111100110101…
…0101110001110001
3100122222112101010211
43133031111301301
530132133104431
61415332224121
7161541261415
oct33715256161
910588471124
103744816241
11165193a961
1288616b041
13478ab56ca
142774c8d45
1516db6a2b1
hexdf355c71

3744816241 has 8 divisors (see below), whose sum is σ = 3784743144. Its totient is φ = 3704916480.

The previous prime is 3744816239. The next prime is 3744816307. The reversal of 3744816241 is 1426184473.

It can be written as a sum of positive squares in 4 ways, for example, as 538425616 + 3206390625 = 23204^2 + 56625^2 .

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 3744816241 - 21 = 3744816239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3744816194 and 3744816203.

It is not an unprimeable number, because it can be changed into a prime (3744816541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396231 + ... + 405571.

It is an arithmetic number, because the mean of its divisors is an integer number (473092893).

Almost surely, 23744816241 is an apocalyptic number.

It is an amenable number.

3744816241 is a deficient number, since it is larger than the sum of its proper divisors (39926903).

3744816241 is an equidigital number, since it uses as much as digits as its factorization.

3744816241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13571.

The product of its digits is 129024, while the sum is 40.

The square root of 3744816241 is about 61194.9037175482. The cubic root of 3744816241 is about 1552.9000497769.

The spelling of 3744816241 in words is "three billion, seven hundred forty-four million, eight hundred sixteen thousand, two hundred forty-one".

Divisors: 1 97 4133 9341 400901 906077 38606353 3744816241