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7328382336 = 27351121419
BaseRepresentation
bin1101101001100111…
…00011110110000000
3200220201122101200000
412310303203312000
5110002031213321
63211104400000
7346414136112
oct66463436600
920821571600
107328382336
113120754130
121506316000
138ca360612
144d73db3b2
152cd582826
hex1b4ce3d80

7328382336 has 192 divisors, whose sum is σ = 23858452800. Its totient is φ = 2220618240.

The previous prime is 7328382317. The next prime is 7328382359. The reversal of 7328382336 is 6332838237.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 7328382291 and 7328382300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331435 + ... + 352853.

It is an arithmetic number, because the mean of its divisors is an integer number (124262775).

Almost surely, 27328382336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7328382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929226400).

7328382336 is an abundant number, since it is smaller than the sum of its proper divisors (16530070464).

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

7328382336 is a wasteful number, since it uses less digits than its factorization.

7328382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21459 (or 21435 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 7328382336 is about 85605.9713805059. The cubic root of 7328382336 is about 1942.3882388257.

The spelling of 7328382336 in words is "seven billion, three hundred twenty-eight million, three hundred eighty-two thousand, three hundred thirty-six".