| Base | Representation |
|---|---|
| bin | 10011001100010101… |
| … | …11101001000000000 |
| 3 | 222121002221121210200 |
| 4 | 21212022331020000 |
| 5 | 132100321114212 |
| 6 | 4422244125200 |
| 7 | 513226153440 |
| oct | 114612751000 |
| 9 | 28532847720 |
| 10 | 10304082432 |
| 11 | 4408427706 |
| 12 | 1bb6996800 |
| 13 | c829b74c7 |
| 14 | 6da6ba120 |
| 15 | 4049266dc |
| hex | 2662bd200 |
10304082432 has 960 divisors, whose sum is σ = 40445982720. Its totient is φ = 2452488192.
The previous prime is 10304082431. The next prime is 10304082433. The reversal of 10304082432 is 23428040301.
10304082432 is a `hidden beast` number, since 10 + 3 + 0 + 408 + 243 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (10304082431) and next prime (10304082433).
It is a super-2 number, since 2×103040824322 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10304082396 and 10304082405.
It is not an unprimeable number, because it can be changed into a prime (10304082431) 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 95 ways as a sum of consecutive naturals, for example, 239629803 + ... + 239629845.
It is an arithmetic number, because the mean of its divisors is an integer number (42131232).
Almost surely, 210304082432 is an apocalyptic number.
10304082432 is a gapful number since it is divisible by the number (12) 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 10304082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).
10304082432 is an abundant number, since it is smaller than the sum of its proper divisors (30141900288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10304082432 is a wasteful number, since it uses less digits than its factorization.
10304082432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The spelling of 10304082432 in words is "ten billion, three hundred four million, eighty-two thousand, four hundred thirty-two".
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