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6328044000 = 25345319531
BaseRepresentation
bin1011110010010111…
…00100100111100000
3121100000022221110000
411321023210213200
5100424434402000
62523531540000
7312546325605
oct57113444740
917300287400
106328044000
11275801a133
1212872ba600
1379b035445
144406026ac
15270836000
hex1792e49e0

6328044000 has 240 divisors, whose sum is σ = 23227220016. Its totient is φ = 1687392000.

The previous prime is 6328043983. The next prime is 6328044053. The reversal of 6328044000 is 4408236.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314235 + ... + 333765.

Almost surely, 26328044000 is an apocalyptic number.

6328044000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613610008).

6328044000 is an abundant number, since it is smaller than the sum of its proper divisors (16899176016).

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

6328044000 is a wasteful number, since it uses less digits than its factorization.

6328044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19568 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6328044000 is about 79549.0037649750. The cubic root of 6328044000 is about 1849.6511638355.

It can be divided in two parts, 632804 and 4000, that added together give a square (636804 = 7982).

The spelling of 6328044000 in words is "six billion, three hundred twenty-eight million, forty-four thousand".