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380196 = 223259179
BaseRepresentation
bin1011100110100100100
3201022112100
41130310210
544131241
612052100
73142305
oct1346444
9638470
10380196
1123a713
12164030
1310408b
149c7ac
15779b6
hex5cd24

380196 has 36 divisors (see below), whose sum is σ = 982800. Its totient is φ = 123888.

The previous prime is 380189. The next prime is 380197. The reversal of 380196 is 691083.

380196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (380197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2380196 is an apocalyptic number.

380196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

380196 is an abundant number, since it is smaller than the sum of its proper divisors (602604).

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

380196 is a wasteful number, since it uses less digits than its factorization.

380196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 380196 is about 616.6003567952. The cubic root of 380196 is about 72.4440154401. Note that the first 3 decimals are identical.

It can be divided in two parts, 38019 and 6, that added together give a square (38025 = 1952).

The spelling of 380196 in words is "three hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 179 236 354 358 531 537 708 716 1062 1074 1611 2124 2148 3222 6444 10561 21122 31683 42244 63366 95049 126732 190098 380196