| Base | Representation |
|---|---|
| bin | 10110111101001… |
| … | …011100000000000 |
| 3 | 222211200222011000 |
| 4 | 112331023200000 |
| 5 | 1242043333030 |
| 6 | 102114452000 |
| 7 | 12354415230 |
| oct | 2675134000 |
| 9 | 884628130 |
| 10 | 385136640 |
| 11 | 188443949 |
| 12 | a8b94000 |
| 13 | 61a39205 |
| 14 | 39215cc0 |
| 15 | 23c29860 |
| hex | 16f4b800 |
385136640 has 384 divisors, whose sum is σ = 1572480000. Its totient is φ = 87588864.
The previous prime is 385136639. The next prime is 385136693. The reversal of 385136640 is 46631583.
385136640 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 3 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
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 = 385136595 and 385136604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935261 + ... + 1935459.
It is an arithmetic number, because the mean of its divisors is an integer number (4095000).
Almost surely, 2385136640 is an apocalyptic number.
385136640 is a gapful number since it is divisible by the number (30) 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 385136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).
385136640 is an abundant number, since it is smaller than the sum of its proper divisors (1187343360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
385136640 is a wasteful number, since it uses less digits than its factorization.
385136640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 242 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 385136640 is about 19624.8984710750. The cubic root of 385136640 is about 727.5646876266.
The spelling of 385136640 in words is "three hundred eighty-five million, one hundred thirty-six thousand, six hundred forty".
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