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399280000 = 275472331
BaseRepresentation
bin10111110011001…
…000011110000000
31000211022112012011
4113303020132000
51304203430000
6103341542304
712615552430
oct2763103600
91024275164
10399280000
11195423a79
12b1874994
136494b972
143b0582c0
15250c02ba
hex17cc8780

399280000 has 320 divisors, whose sum is σ = 1223608320. Its totient is φ = 126720000.

The previous prime is 399279989. The next prime is 399280039. The reversal of 399280000 is 82993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12879985 + ... + 12880015.

It is an arithmetic number, because the mean of its divisors is an integer number (3823776).

Almost surely, 2399280000 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 399280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611804160).

399280000 is an abundant number, since it is smaller than the sum of its proper divisors (824328320).

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

399280000 is an equidigital number, since it uses as much as digits as its factorization.

399280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 399280000 is about 19981.9918927018. The cubic root of 399280000 is about 736.3639504324.

The spelling of 399280000 in words is "three hundred ninety-nine million, two hundred eighty thousand".