Base | Representation |
---|---|
bin | 1000111011010011000… |
… | …10110001100000000000 |
3 | 1002022200101101011002100 |
4 | 10131221202301200000 |
5 | 20011122112320334 |
6 | 352522512350400 |
7 | 31105433616120 |
oct | 4355142614000 |
9 | 1068611334070 |
10 | 306713401344 |
11 | 1090927a0079 |
12 | 4b539845400 |
13 | 22bcc94983c |
14 | 10bb89b6c80 |
15 | 7ea1c64c99 |
hex | 47698b1800 |
306713401344 has 576 divisors, whose sum is σ = 1036063828800. Its totient is φ = 85614133248.
The previous prime is 306713401321. The next prime is 306713401349. The reversal of 306713401344 is 443104317603.
306713401344 is a `hidden beast` number, since 306 + 7 + 1 + 3 + 4 + 0 + 1 + 344 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×3067134013442 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 306713401299 and 306713401308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (306713401349) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1589188512 + ... + 1589188704.
It is an arithmetic number, because the mean of its divisors is an integer number (1798721925).
Almost surely, 2306713401344 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 306713401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518031914400).
306713401344 is an abundant number, since it is smaller than the sum of its proper divisors (729350427456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
306713401344 is a wasteful number, since it uses less digits than its factorization.
306713401344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 450 (or 427 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
Adding to 306713401344 its reverse (443104317603), we get a palindrome (749817718947).
The spelling of 306713401344 in words is "three hundred six billion, seven hundred thirteen million, four hundred one thousand, three hundred forty-four".
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