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3628242336 = 25337794191
BaseRepresentation
bin1101100001000010…
…1001010110100000
3100100212011210210210
43120100221112200
524412312223321
61400005454120
7155624356665
oct33020512640
910325153723
103628242336
1115a2059194
12853111340
1345a8bb074
14265c21a6c
151637deb76
hexd84295a0

3628242336 has 24 divisors (see below), whose sum is σ = 9524136384. Its totient is φ = 1209414080.

The previous prime is 3628242313. The next prime is 3628242361. The reversal of 3628242336 is 6332428263.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3628242294 and 3628242303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18897000 + ... + 18897191.

It is an arithmetic number, because the mean of its divisors is an integer number (396839016).

Almost surely, 23628242336 is an apocalyptic number.

It is an amenable number.

3628242336 is an abundant number, since it is smaller than the sum of its proper divisors (5895894048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3628242336 is a wasteful number, since it uses less digits than its factorization.

3628242336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37794204 (or 37794196 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 3628242336 is about 60234.8930106130. The cubic root of 3628242336 is about 1536.6162755991.

The spelling of 3628242336 in words is "three billion, six hundred twenty-eight million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 37794191 75588382 113382573 151176764 226765146 302353528 453530292 604707056 907060584 1209414112 1814121168 3628242336