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380363166 = 232194492477
BaseRepresentation
bin10110101010111…
…110000110011110
3222111201110011200
4112222332012132
51234333110131
6101424300330
712266014341
oct2652760636
9874643150
10380363166
11185783527
12a74716a6
1360a57581
1438732458
15235d52e6
hex16abe19e

380363166 has 48 divisors (see below), whose sum is σ = 869778000. Its totient is φ = 119798784.

The previous prime is 380363161. The next prime is 380363173. The reversal of 380363166 is 661363083.

It is a super-2 number, since 2×3803631662 = 289352276099087112, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 380363166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380363161) 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 23 ways as a sum of consecutive naturals, for example, 152320 + ... + 154796.

It is an arithmetic number, because the mean of its divisors is an integer number (18120375).

Almost surely, 2380363166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380363166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434889000).

380363166 is an abundant number, since it is smaller than the sum of its proper divisors (489414834).

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

380363166 is a wasteful number, since it uses less digits than its factorization.

380363166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 380363166 is about 19502.9014764470. The cubic root of 380363166 is about 724.5463136966.

The spelling of 380363166 in words is "three hundred eighty million, three hundred sixty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 449 898 1347 2477 2694 4041 4954 7431 8082 8531 14862 17062 22293 25593 44586 47063 51186 76779 94126 141189 153558 282378 423567 847134 1112173 2224346 3336519 6673038 10009557 20019114 21131287 42262574 63393861 126787722 190181583 380363166