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199344384 = 2832312791
BaseRepresentation
bin10111110000111…
…00000100000000
3111220002202002100
423320130010000
5402013010014
631440350400
74640253651
oct1370340400
9456082070
10199344384
11a2585428
1256915400
13323b7a75
141c691528
151277a009
hexbe1c100

199344384 has 108 divisors (see below), whose sum is σ = 593512192. Its totient is φ = 64281600.

The previous prime is 199344377. The next prime is 199344389. The reversal of 199344384 is 483443991.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199344389) 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, 70029 + ... + 72819.

Almost surely, 2199344384 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 199344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296756096).

199344384 is an abundant number, since it is smaller than the sum of its proper divisors (394167808).

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

199344384 is a wasteful number, since it uses less digits than its factorization.

199344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2827 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 199344384 is about 14118.9370704738. The cubic root of 199344384 is about 584.1638371874.

The spelling of 199344384 in words is "one hundred ninety-nine million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2791 2976 3968 4464 5582 5952 7936 8373 8928 11164 11904 16746 17856 22328 23808 25119 33492 35712 44656 50238 66984 71424 86521 89312 100476 133968 173042 178624 200952 259563 267936 346084 357248 401904 519126 535872 692168 714496 778689 803808 1038252 1071744 1384336 1557378 1607616 2076504 2143488 2768672 3114756 3215232 4153008 5537344 6229512 6430464 8306016 11074688 12459024 16612032 22149376 24918048 33224064 49836096 66448128 99672192 199344384