Base | Representation |
---|---|
bin | 10011100011100… |
… | …111100001000000 |
3 | 211212101102002000 |
4 | 103203213201000 |
5 | 1132443312000 |
6 | 52320224000 |
7 | 11062560300 |
oct | 2343474100 |
9 | 755342060 |
10 | 328104000 |
11 | 15922a434 |
12 | 91a6b000 |
13 | 52c8aaa3 |
14 | 3180b600 |
15 | 1dc11000 |
hex | 138e7840 |
328104000 has 672 divisors, whose sum is σ = 1445483520. Its totient is φ = 72576000.
The previous prime is 328103987. The next prime is 328104019. The reversal of 328104000 is 401823.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10583985 + ... + 10584015.
Almost surely, 2328104000 is an apocalyptic number.
328104000 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 328104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722741760).
328104000 is an abundant number, since it is smaller than the sum of its proper divisors (1117379520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
328104000 is a wasteful number, since it uses less digits than its factorization.
328104000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 328104000 is about 18113.6412683922. The cubic root of 328104000 is about 689.7163295191.
Adding to 328104000 its reverse (401823), we get a palindrome (328505823).
The spelling of 328104000 in words is "three hundred twenty-eight million, one hundred four thousand".
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