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380358 = 2321117113
BaseRepresentation
bin1011100110111000110
3201022202100
41130313012
544132413
612052530
73142626
oct1346706
9638670
10380358
1123a850
12164146
13104184
149c886
1577a73
hex5cdc6

380358 has 48 divisors (see below), whose sum is σ = 960336. Its totient is φ = 107520.

The previous prime is 380333. The next prime is 380363. The reversal of 380358 is 853083.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380358.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310 + ... + 3422.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2380358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480168).

380358 is an abundant number, since it is smaller than the sum of its proper divisors (579978).

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

380358 is a wasteful number, since it uses less digits than its factorization.

380358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 380358 is about 616.7317082816. The cubic root of 380358 is about 72.4543033478.

The spelling of 380358 in words is "three hundred eighty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 113 153 187 198 226 306 339 374 561 678 1017 1122 1243 1683 1921 2034 2486 3366 3729 3842 5763 7458 11187 11526 17289 21131 22374 34578 42262 63393 126786 190179 380358