| Base | Representation |
|---|---|
| bin | 10110111111000… |
| … | …000000101000000 |
| 3 | 222212121020011100 |
| 4 | 112333000011000 |
| 5 | 1242204123034 |
| 6 | 102133014400 |
| 7 | 12361444326 |
| oct | 2677000500 |
| 9 | 885536140 |
| 10 | 385614144 |
| 11 | 18873a683 |
| 12 | a9184400 |
| 13 | 61b75666 |
| 14 | 392dbd16 |
| 15 | 23cc1099 |
| hex | 16fc0140 |
385614144 has 84 divisors (see below), whose sum is σ = 1108778580. Its totient is φ = 128133120.
The previous prime is 385614121. The next prime is 385614157. The reversal of 385614144 is 441416583.
385614144 is a `hidden beast` number, since 38 + 5 + 614 + 1 + 4 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 187142400 + 198471744 = 13680^2 + 14088^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 385614099 and 385614108.
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 223204 + ... + 224924.
It is an arithmetic number, because the mean of its divisors is an integer number (13199745).
Almost surely, 2385614144 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 385614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554389290).
385614144 is an abundant number, since it is smaller than the sum of its proper divisors (723164436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
385614144 is a wasteful number, since it uses less digits than its factorization.
385614144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 385614144 is about 19637.0604724842. The cubic root of 385614144 is about 727.8652489797.
The spelling of 385614144 in words is "three hundred eighty-five million, six hundred fourteen thousand, one hundred forty-four".
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