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3387671649 = 32537339689
BaseRepresentation
bin1100100111101011…
…1100010001100001
322202002111112212100
43021322330101201
523414220443044
61320053321013
7146643506505
oct31172742141
98662445770
103387671649
11148928593a
127a6636169
1341caca54b
14241cbc305
1514c61e869
hexc9ebc461

3387671649 has 24 divisors (see below), whose sum is σ = 4992946920. Its totient is φ = 2212584192.

The previous prime is 3387671647. The next prime is 3387671657. The reversal of 3387671649 is 9461767833.

3387671649 is digitally balanced in base 2 and base 4, because in such bases 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 1928966400 + 1458705249 = 43920^2 + 38193^2 .

It is not a de Polignac number, because 3387671649 - 21 = 3387671647 is a prime.

It is a super-2 number, since 2×33876716492 = 22952638402876758402, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3387671595 and 3387671604.

It is not an unprimeable number, because it can be changed into a prime (3387671647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344797 + ... + 354485.

It is an arithmetic number, because the mean of its divisors is an integer number (208039455).

Almost surely, 23387671649 is an apocalyptic number.

It is an amenable number.

3387671649 is a deficient number, since it is larger than the sum of its proper divisors (1605275271).

3387671649 is a wasteful number, since it uses less digits than its factorization.

3387671649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10478 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3387671649 is about 58203.7082066083. The cubic root of 3387671649 is about 1501.8749367650.

The spelling of 3387671649 in words is "three billion, three hundred eighty-seven million, six hundred seventy-one thousand, six hundred forty-nine".

Divisors: 1 3 9 53 159 477 733 2199 6597 9689 29067 38849 87201 116547 349641 513517 1540551 4621653 7102037 21306111 63918333 376407961 1129223883 3387671649