Base | Representation |
---|---|
bin | 1100110110101000… |
… | …0101001010001000 |
3 | 22220110110110202000 |
4 | 3031222011022020 |
5 | 24031243013311 |
6 | 1330213111000 |
7 | 151334402634 |
oct | 31552051210 |
9 | 8813413660 |
10 | 3450360456 |
11 | 1510702974 |
12 | 803628460 |
13 | 42caa930a |
14 | 24a359dc4 |
15 | 152da4056 |
hex | cda85288 |
3450360456 has 128 divisors (see below), whose sum is σ = 10044518400. Its totient is φ = 1095336000.
The previous prime is 3450360421. The next prime is 3450360457. The reversal of 3450360456 is 6540630543.
3450360456 is a `hidden beast` number, since 3 + 45 + 0 + 3 + 604 + 5 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 3450360456.
It is not an unprimeable number, because it can be changed into a prime (3450360457) 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 31 ways as a sum of consecutive naturals, for example, 1245585 + ... + 1248351.
It is an arithmetic number, because the mean of its divisors is an integer number (78472800).
Almost surely, 23450360456 is an apocalyptic number.
3450360456 is a gapful number since it is divisible by the number (36) 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 3450360456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022259200).
3450360456 is an abundant number, since it is smaller than the sum of its proper divisors (6594157944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3450360456 is a wasteful number, since it uses less digits than its factorization.
3450360456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3056 (or 3046 counting only the distinct ones).
The product of its (nonzero) digits is 129600, while the sum is 36.
The square root of 3450360456 is about 58739.7689474516. The cubic root of 3450360456 is about 1511.0824301762.
Adding to 3450360456 its reverse (6540630543), we get a palindrome (9990990999).
The spelling of 3450360456 in words is "three billion, four hundred fifty million, three hundred sixty thousand, four hundred fifty-six".
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