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399320064 = 210331113101
BaseRepresentation
bin10111110011010…
…010010000000000
31000211101120011000
4113303102100000
51304211220224
6103342452000
712616110303
oct2763222000
91024346130
10399320064
11195451090
12b1894000
1364963c80
143b068b3a
15250cc0c9
hex17cd2400

399320064 has 352 divisors, whose sum is σ = 1403095680. Its totient is φ = 110592000.

The previous prime is 399320063. The next prime is 399320081. The reversal of 399320064 is 460023993.

It is a happy number.

399320064 is a `hidden beast` number, since 399 + 3 + 200 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is not an unprimeable number, because it can be changed into a prime (399320063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3953614 + ... + 3953714.

Almost surely, 2399320064 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 399320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701547840).

399320064 is an abundant number, since it is smaller than the sum of its proper divisors (1003775616).

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

399320064 is a wasteful number, since it uses less digits than its factorization.

399320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 399320064 is about 19982.9943702139. The cubic root of 399320064 is about 736.3885786788.

The spelling of 399320064 in words is "three hundred ninety-nine million, three hundred twenty thousand, sixty-four".