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380301168 = 243131633739
BaseRepresentation
bin10110101010101…
…110111101110000
3222111121022010110
4112222232331300
51234324114133
6101423101320
712265335522
oct2652567560
9874538113
10380301168
11185740995
12a7441840
1360a352a0
1438717a12
15235c1c63
hex16aaef70

380301168 has 80 divisors (see below), whose sum is σ = 1064792960. Its totient is φ = 116266752.

The previous prime is 380301167. The next prime is 380301191. The reversal of 380301168 is 861103083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380301167) 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 15 ways as a sum of consecutive naturals, for example, 99843 + ... + 103581.

It is an arithmetic number, because the mean of its divisors is an integer number (13309912).

Almost surely, 2380301168 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 380301168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532396480).

380301168 is an abundant number, since it is smaller than the sum of its proper divisors (684491792).

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

380301168 is a wasteful number, since it uses less digits than its factorization.

380301168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380301168 is about 19501.3119558659. The cubic root of 380301168 is about 724.5069453007.

The spelling of 380301168 in words is "three hundred eighty million, three hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 208 312 326 489 624 652 978 1304 1956 2119 2608 3739 3912 4238 6357 7478 7824 8476 11217 12714 14956 16952 22434 25428 29912 33904 44868 48607 50856 59824 89736 97214 101712 145821 179472 194428 291642 388856 583284 609457 777712 1166568 1218914 1828371 2333136 2437828 3656742 4875656 7313484 7922941 9751312 14626968 15845882 23768823 29253936 31691764 47537646 63383528 95075292 126767056 190150584 380301168