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328084236 = 223323269491
BaseRepresentation
bin10011100011100…
…010101100001100
3211212100101222000
4103203202230030
51132442143421
652315552300
711062445544
oct2343425414
9755311860
10328084236
111592165a7
1291a5b690
1352c81aac
1431804324
151dc0a226
hex138e2b0c

328084236 has 96 divisors (see below), whose sum is σ = 892684800. Its totient is φ = 104005440.

The previous prime is 328084231. The next prime is 328084249. The reversal of 328084236 is 632480823.

328084236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 328084236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328084231) 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 31 ways as a sum of consecutive naturals, for example, 667951 + ... + 668441.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2328084236 is an apocalyptic number.

328084236 is a gapful number since it is divisible by the number (36) 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 328084236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446342400).

328084236 is an abundant number, since it is smaller than the sum of its proper divisors (564600564).

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

328084236 is a wasteful number, since it uses less digits than its factorization.

328084236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 328084236 is about 18113.0957044896. The cubic root of 328084236 is about 689.7024804273.

The spelling of 328084236 in words is "three hundred twenty-eight million, eighty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 269 276 414 491 538 621 807 828 982 1076 1242 1473 1614 1964 2421 2484 2946 3228 4419 4842 5892 6187 7263 8838 9684 11293 12374 13257 14526 17676 18561 22586 24748 26514 29052 33879 37122 45172 53028 55683 67758 74244 101637 111366 132079 135516 167049 203274 222732 264158 304911 334098 396237 406548 528316 609822 668196 792474 1188711 1219644 1584948 2377422 3037817 3566133 4754844 6075634 7132266 9113451 12151268 14264532 18226902 27340353 36453804 54680706 82021059 109361412 164042118 328084236