| Base | Representation |
|---|---|
| bin | 101011100011111… |
| … | …001000000000000 |
| 3 | 1212221011221122100 |
| 4 | 223203321000000 |
| 5 | 2444043010200 |
| 6 | 200304110400 |
| 7 | 24052641132 |
| oct | 5343710000 |
| 9 | 1787157570 |
| 10 | 730828800 |
| 11 | 345596549 |
| 12 | 184905400 |
| 13 | b85446a0 |
| 14 | 6d0c1052 |
| 15 | 44261d00 |
| hex | 2b8f9000 |
730828800 has 468 divisors, whose sum is σ = 2865244564. Its totient is φ = 176947200.
The previous prime is 730828799. The next prime is 730828801. The reversal of 730828800 is 8828037.
It is an interprime number because it is at equal distance from previous prime (730828799) and next prime (730828801).
It can be written as a sum of positive squares in 6 ways, for example, as 260112384 + 470716416 = 16128^2 + 21696^2 .
It is a tau number, because it is divible by the number of its divisors (468).
It is a super-2 number, since 2×7308288002 = 1068221469818880000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (730828801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11980770 + ... + 11980830.
Almost surely, 2730828800 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 730828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432622282).
730828800 is an abundant number, since it is smaller than the sum of its proper divisors (2134415764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
730828800 is a wasteful number, since it uses less digits than its factorization.
730828800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 730828800 is about 27033.8454534311. The cubic root of 730828800 is about 900.7519641398.
The spelling of 730828800 in words is "seven hundred thirty million, eight hundred twenty-eight thousand, eight hundred".
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