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380936192 = 213721373
BaseRepresentation
bin10110101101001…
…010000000000000
3222112210120012212
4112231022000000
51240004424232
6101444441252
712303622100
oct2655120000
9875716185
10380936192
11186034aaa
12a76a9228
1360bc8340
1438841200
1523699eb2
hex16b4a000

380936192 has 168 divisors, whose sum is σ = 967448916. Its totient is φ = 148635648.

The previous prime is 380936177. The next prime is 380936197. The reversal of 380936192 is 291639083.

It can be written as a sum of positive squares in 2 ways, for example, as 371101696 + 9834496 = 19264^2 + 3136^2 .

It is a super-2 number, since 2×3809361922 = 290224764750921728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380936197) 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, 5218268 + ... + 5218340.

Almost surely, 2380936192 is an apocalyptic number.

380936192 is a gapful number since it is divisible by the number (32) 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 380936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483724458).

380936192 is an abundant number, since it is smaller than the sum of its proper divisors (586512724).

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

380936192 is an equidigital number, since it uses as much as digits as its factorization.

380936192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 380936192 is about 19517.5867360696. The cubic root of 380936192 is about 724.9099797862.

The spelling of 380936192 in words is "three hundred eighty million, nine hundred thirty-six thousand, one hundred ninety-two".