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328543146 = 232293179257
BaseRepresentation
bin10011100101010…
…010101110101010
3211220012201110200
4103211102232222
51133101340041
652333453030
711066366511
oct2345225652
9756181420
10328543146
111594aa368
1292041176
13530b2939
14318c3678
151dc9b1b6
hex13952baa

328543146 has 96 divisors (see below), whose sum is σ = 772761600. Its totient is φ = 100638720.

The previous prime is 328543141. The next prime is 328543147. The reversal of 328543146 is 641345823.

328543146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 328543146.

It is not an unprimeable number, because it can be changed into a prime (328543141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278250 + ... + 1278506.

It is an arithmetic number, because the mean of its divisors is an integer number (8049600).

Almost surely, 2328543146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328543146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386380800).

328543146 is an abundant number, since it is smaller than the sum of its proper divisors (444218454).

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

328543146 is a wasteful number, since it uses less digits than its factorization.

328543146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 328543146 is about 18125.7591841004. The cubic root of 328543146 is about 690.0239059140.

Adding to 328543146 its reverse (641345823), we get a palindrome (969888969).

The spelling of 328543146 in words is "three hundred twenty-eight million, five hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 29 31 58 62 79 87 93 158 174 186 237 257 261 279 474 514 522 558 711 771 899 1422 1542 1798 2291 2313 2449 2697 4582 4626 4898 5394 6873 7347 7453 7967 8091 13746 14694 14906 15934 16182 20303 20619 22041 22359 23901 40606 41238 44082 44718 47802 60909 67077 71021 71703 121818 134154 142042 143406 182727 213063 231043 365454 426126 462086 588787 629393 639189 693129 1177574 1258786 1278378 1386258 1766361 1888179 2079387 3532722 3776358 4158774 5299083 5664537 10598166 11329074 18252397 36504794 54757191 109514382 164271573 328543146