Base | Representation |
---|---|
bin | 1001000011011011… |
… | …1010100000000000 |
3 | 20021101001202202000 |
4 | 2100312322200000 |
5 | 14434130030441 |
6 | 1041054024000 |
7 | 114140222001 |
oct | 22066724000 |
9 | 6241052660 |
10 | 2430314496 |
11 | 1037938285 |
12 | 579aa8000 |
13 | 2c9670b1c |
14 | 190ab11a8 |
15 | e35632b6 |
hex | 90dba800 |
2430314496 has 96 divisors (see below), whose sum is σ = 7199337600. Its totient is φ = 810086400.
The previous prime is 2430314461. The next prime is 2430314501. The reversal of 2430314496 is 6944130342.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
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 2430314496.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 33321 + ... + 77271.
It is an arithmetic number, because the mean of its divisors is an integer number (74993100).
Almost surely, 22430314496 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 2430314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599668800).
2430314496 is an abundant number, since it is smaller than the sum of its proper divisors (4769023104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2430314496 is an equidigital number, since it uses as much as digits as its factorization.
2430314496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43982 (or 43956 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 2430314496 is about 49298.2200084344. The cubic root of 2430314496 is about 1344.4794208013.
The spelling of 2430314496 in words is "two billion, four hundred thirty million, three hundred fourteen thousand, four hundred ninety-six".
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