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396828295344 = 243313438831861
BaseRepresentation
bin1011100011001001100…
…11110100000010110000
31101221021122110002011000
411301210303310002300
523000201020422334
6502144515322000
740445526566445
oct5614463640260
91357248402130
10396828295344
11143326255788
1264aa8bb0300
132b5614c8920
14152c6c619cc
15a4c8239299
hex5c64cf40b0

396828295344 has 320 divisors, whose sum is σ = 1257286750720. Its totient is φ = 119062379520.

The previous prime is 396828295337. The next prime is 396828295361. The reversal of 396828295344 is 443592828693.

It is a happy number.

396828295344 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 282 + 9 + 5 + 344 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213232974 + ... + 213234834.

It is an arithmetic number, because the mean of its divisors is an integer number (3929021096).

Almost surely, 2396828295344 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 396828295344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628643375360).

396828295344 is an abundant number, since it is smaller than the sum of its proper divisors (860458455376).

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

396828295344 is a wasteful number, since it uses less digits than its factorization.

396828295344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2805 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 396828295344 in words is "three hundred ninety-six billion, eight hundred twenty-eight million, two hundred ninety-five thousand, three hundred forty-four".