Base | Representation |
---|---|
bin | 10010000101000… |
… | …011010111111000 |
3 | 210010201222011120 |
4 | 102011003113320 |
5 | 1110122030144 |
6 | 50033025240 |
7 | 10342062420 |
oct | 2205032770 |
9 | 703658146 |
10 | 303314424 |
11 | 146238686 |
12 | 856b5220 |
13 | 4aabb5ba |
14 | 2c3d7480 |
15 | 1b965e19 |
hex | 121435f8 |
303314424 has 64 divisors (see below), whose sum is σ = 870186240. Its totient is φ = 86304000.
The previous prime is 303314411. The next prime is 303314467. The reversal of 303314424 is 424413303.
303314424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 303314394 and 303314403.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 38572 + ... + 45764.
It is an arithmetic number, because the mean of its divisors is an integer number (13596660).
Almost surely, 2303314424 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 303314424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435093120).
303314424 is an abundant number, since it is smaller than the sum of its proper divisors (566871816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
303314424 is a wasteful number, since it uses less digits than its factorization.
303314424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7460 (or 7456 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 303314424 is about 17415.9244371351. The cubic root of 303314424 is about 671.8892426590.
Adding to 303314424 its reverse (424413303), we get a palindrome (727727727).
The spelling of 303314424 in words is "three hundred three million, three hundred fourteen thousand, four hundred twenty-four".
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