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385168 = 24719181
BaseRepresentation
bin1011110000010010000
3201120100111
41132002100
544311133
612131104
73162640
oct1360220
9646314
10385168
11243423
12166a94
13106414
14a0520
15791cd
hex5e090

385168 has 40 divisors (see below), whose sum is σ = 902720. Its totient is φ = 155520.

The previous prime is 385159. The next prime is 385171. The reversal of 385168 is 861583.

It is an unprimeable number.

385168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2038 + ... + 2218.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2385168 is an apocalyptic number.

385168 is a gapful number since it is divisible by the number (38) 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 385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451360).

385168 is an abundant number, since it is smaller than the sum of its proper divisors (517552).

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

385168 is a wasteful number, since it uses less digits than its factorization.

385168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 385168 is about 620.6190457922. The cubic root of 385168 is about 72.7584434566.

The spelling of 385168 in words is "three hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 181 266 304 362 532 724 1064 1267 1448 2128 2534 2896 3439 5068 6878 10136 13756 20272 24073 27512 48146 55024 96292 192584 385168