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328199046 = 237193113267
BaseRepresentation
bin10011100011111…
…110101110000110
3211212120020110020
4103203332232012
51133004332141
652322240010
711063434350
oct2343765606
9755506406
10328199046
1115929488a
1291ab6006
1352cc2126
14318340d0
151dc2e266
hex138feb86

328199046 has 64 divisors (see below), whose sum is σ = 815185920. Its totient is φ = 85963680.

The previous prime is 328199041. The next prime is 328199057. The reversal of 328199046 is 640991823.

328199046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3281990462 = 215429227590620232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 328198989 and 328199007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328199041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18105 + ... + 31371.

It is an arithmetic number, because the mean of its divisors is an integer number (12737280).

Almost surely, 2328199046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328199046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407592960).

328199046 is an abundant number, since it is smaller than the sum of its proper divisors (486986874).

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

328199046 is a wasteful number, since it uses less digits than its factorization.

328199046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329.

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 328199046 is about 18116.2646812195. The cubic root of 328199046 is about 689.7829226819.

The spelling of 328199046 in words is "three hundred twenty-eight million, one hundred ninety-nine thousand, forty-six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 8246 12369 13267 24738 26534 39801 79602 92869 185738 252073 278607 411277 504146 557214 756219 822554 1233831 1512438 1764511 2467662 2878939 3529022 5293533 5757878 7814263 8636817 10587066 15628526 17273634 23442789 46885578 54699841 109399682 164099523 328199046