Search a number
-
+
381216 = 25311192
BaseRepresentation
bin1011101000100100000
3201100221010
41131010200
544144331
612100520
73145263
oct1350440
9640833
10381216
11240460
12164740
13104694
149ccda
1577e46
hex5d120

381216 has 72 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 109440.

The previous prime is 381209. The next prime is 381221. The reversal of 381216 is 612183.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 381192 and 381201.

It is an unprimeable number.

381216 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 11 ways as a sum of consecutive naturals, for example, 20055 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2381216 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 381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

381216 is an abundant number, since it is smaller than the sum of its proper divisors (770928).

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

381216 is a wasteful number, since it uses less digits than its factorization.

381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 381216 is about 617.4269187523. The cubic root of 381216 is about 72.5087425050.

Adding to 381216 its reverse (612183), we get a palindrome (993399).

It can be divided in two parts, 3812 and 16, that added together give a triangular number (3828 = T87).

The spelling of 381216 in words is "three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 361 418 456 528 608 627 722 836 912 1056 1083 1254 1444 1672 1824 2166 2508 2888 3344 3971 4332 5016 5776 6688 7942 8664 10032 11552 11913 15884 17328 20064 23826 31768 34656 47652 63536 95304 127072 190608 381216