| Base | Representation |
|---|---|
| bin | 10111110101110… |
| … | …000000010000000 |
| 3 | 1000212121101200000 |
| 4 | 113311300002000 |
| 5 | 1304342410321 |
| 6 | 103404400000 |
| 7 | 12624441420 |
| oct | 2765600200 |
| 9 | 1025541600 |
| 10 | 399966336 |
| 11 | 1958526a0 |
| 12 | b1b46000 |
| 13 | 64b2c193 |
| 14 | 3b196480 |
| 15 | 251a8826 |
| hex | 17d70080 |
399966336 has 384 divisors, whose sum is σ = 1497000960. Its totient is φ = 103265280.
The previous prime is 399966331. The next prime is 399966341. The reversal of 399966336 is 633669993.
It is an interprime number because it is at equal distance from previous prime (399966331) and next prime (399966341).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (399966331) 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 47 ways as a sum of consecutive naturals, for example, 2394925 + ... + 2395091.
It is an arithmetic number, because the mean of its divisors is an integer number (3898440).
Almost surely, 2399966336 is an apocalyptic number.
399966336 is a gapful number since it is divisible by the number (36) 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 399966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).
399966336 is an abundant number, since it is smaller than the sum of its proper divisors (1097034624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
399966336 is a wasteful number, since it uses less digits than its factorization.
399966336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 190 counting only the distinct ones).
The product of its digits is 4251528, while the sum is 54.
The square root of 399966336 is about 19999.1583822920. The cubic root of 399966336 is about 736.7856292755.
The spelling of 399966336 in words is "three hundred ninety-nine million, nine hundred sixty-six thousand, three hundred thirty-six".
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