| Base | Representation |
|---|---|
| bin | 1100101011111111… |
| … | …0101101010000000 |
| 3 | 22210100111010200000 |
| 4 | 3022333311222000 |
| 5 | 23433331414410 |
| 6 | 1321540400000 |
| 7 | 150253151133 |
| oct | 31277655200 |
| 9 | 8710433600 |
| 10 | 3405732480 |
| 11 | 14984a1247 |
| 12 | 7b06a6000 |
| 13 | 423782127 |
| 14 | 24446021a |
| 15 | 14dedadc0 |
| hex | caff5a80 |
3405732480 has 384 divisors, whose sum is σ = 12430454400. Its totient is φ = 890818560.
The previous prime is 3405732469. The next prime is 3405732487. The reversal of 3405732480 is 842375043.
It is a happy number.
3405732480 is a `hidden beast` number, since 3 + 4 + 0 + 573 + 2 + 4 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
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 (3405732487) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9486541 + ... + 9486899.
It is an arithmetic number, because the mean of its divisors is an integer number (32370975).
Almost surely, 23405732480 is an apocalyptic number.
3405732480 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 3405732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).
3405732480 is an abundant number, since it is smaller than the sum of its proper divisors (9024721920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3405732480 is an equidigital number, since it uses as much as digits as its factorization.
3405732480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 430 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The square root of 3405732480 is about 58358.6538569902. The cubic root of 3405732480 is about 1504.5392098599.
The spelling of 3405732480 in words is "three billion, four hundred five million, seven hundred thirty-two thousand, four hundred eighty".
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