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380199576 = 233192273673
BaseRepresentation
bin10110101010010…
…110001010011000
3222111102010202210
4112222112022120
51234312341301
6101420555120
712264433401
oct2652261230
9874363683
10380199576
11185681629
12a73b2aa0
13609cac83
14386cc9a8
15235a1ad6
hex16a96298

380199576 has 64 divisors (see below), whose sum is σ = 1005206400. Its totient is φ = 119501568.

The previous prime is 380199571. The next prime is 380199583. The reversal of 380199576 is 675991083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380199571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101676 + ... + 105348.

It is an arithmetic number, because the mean of its divisors is an integer number (15706350).

Almost surely, 2380199576 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 380199576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502603200).

380199576 is an abundant number, since it is smaller than the sum of its proper divisors (625006824).

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

380199576 is a wasteful number, since it uses less digits than its factorization.

380199576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 380199576 is about 19498.7070340574. The cubic root of 380199576 is about 724.4424256770.

The spelling of 380199576 in words is "three hundred eighty million, one hundred ninety-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 227 228 454 456 681 908 1362 1816 2724 3673 4313 5448 7346 8626 11019 12939 14692 17252 22038 25878 29384 34504 44076 51756 69787 88152 103512 139574 209361 279148 418722 558296 833771 837444 1667542 1674888 2501313 3335084 5002626 6670168 10005252 15841649 20010504 31683298 47524947 63366596 95049894 126733192 190099788 380199576