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328001100 = 223527253421
BaseRepresentation
bin10011100011001…
…110011001001100
3211212012011220220
4103203032121030
51132432013400
652314111340
711061651300
oct2343163114
9755164826
10328001100
1115916a099
1291a1b550
1352c52cbb
14317c1d00
151dbe07a0
hex138ce64c

328001100 has 216 divisors, whose sum is σ = 1127459088. Its totient is φ = 73382400.

The previous prime is 328001083. The next prime is 328001129. The reversal of 328001100 is 1100823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 328001100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 778890 + ... + 779310.

It is an arithmetic number, because the mean of its divisors is an integer number (5219718).

Almost surely, 2328001100 is an apocalyptic number.

328001100 is a gapful number since it is divisible by the number (30) 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 328001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563729544).

328001100 is an abundant number, since it is smaller than the sum of its proper divisors (799457988).

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

328001100 is a wasteful number, since it uses less digits than its factorization.

328001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 328001100 is about 18110.8006449190. The cubic root of 328001100 is about 689.6442190186.

Adding to 328001100 its reverse (1100823), we get a palindrome (329101923).

The spelling of 328001100 in words is "three hundred twenty-eight million, one thousand, one hundred".