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380227316 = 227197983109
BaseRepresentation
bin10110101010011…
…100111011110100
3222111110112211012
4112222130323310
51234314233231
6101421331352
712264610310
oct2652347364
9874415735
10380227316
111856a0457
12a7406b58
1360a0a7a1
14386d8b40
15235a9e2b
hex16a9cef4

380227316 has 96 divisors (see below), whose sum is σ = 827904000. Its totient is φ = 149205888.

The previous prime is 380227303. The next prime is 380227319. The reversal of 380227316 is 613722083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380227319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488270 + ... + 3488378.

It is an arithmetic number, because the mean of its divisors is an integer number (8624000).

Almost surely, 2380227316 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 380227316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413952000).

380227316 is an abundant number, since it is smaller than the sum of its proper divisors (447676684).

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

380227316 is a wasteful number, since it uses less digits than its factorization.

380227316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 380227316 is about 19499.4183502996. The cubic root of 380227316 is about 724.4600440942.

Adding to 380227316 its reverse (613722083), we get a palindrome (993949399).

The spelling of 380227316 in words is "three hundred eighty million, two hundred twenty-seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 79 83 109 133 158 166 218 266 316 332 436 532 553 581 763 1106 1162 1501 1526 1577 2071 2212 2324 3002 3052 3154 4142 6004 6308 6557 8284 8611 9047 10507 11039 13114 14497 17222 18094 21014 22078 26228 28994 34444 36188 42028 44156 45899 57988 60277 63329 91798 120554 124583 126658 163609 171893 183596 241108 249166 253316 327218 343786 498332 654436 687572 714713 872081 1145263 1203251 1429426 1744162 2290526 2406502 2858852 3488324 4581052 4813004 5002991 10005982 13579547 20011964 27159094 54318188 95056829 190113658 380227316