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6342323328 = 27361137167
BaseRepresentation
bin1011110100000100…
…00010110010000000
3121101000012102000000
411322002002302000
5100442113321303
62525202000000
7313111600365
oct57202026200
917330172000
106342323328
112765092430
121290046000
137a0c94a53
1444247c46c
15271c06da3
hex17a082c80

6342323328 has 448 divisors, whose sum is σ = 21351798720. Its totient is φ = 1858775040.

The previous prime is 6342323311. The next prime is 6342323411. The reversal of 6342323328 is 8233232436.

6342323328 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 323 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 6342323292 and 6342323301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37977901 + ... + 37978067.

It is an arithmetic number, because the mean of its divisors is an integer number (47660265).

Almost surely, 26342323328 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 6342323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675899360).

6342323328 is an abundant number, since it is smaller than the sum of its proper divisors (15009475392).

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

6342323328 is a wasteful number, since it uses less digits than its factorization.

6342323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 6342323328 is about 79638.7049618463. The cubic root of 6342323328 is about 1851.0413740558.

The spelling of 6342323328 in words is "six billion, three hundred forty-two million, three hundred twenty-three thousand, three hundred twenty-eight".