Base | Representation |
---|---|
bin | 1001111110111001001… |
… | …10001010000010010000 |
3 | 1012210100111102102101122 |
4 | 10333130212022002100 |
5 | 21104432333001410 |
6 | 421323521221412 |
7 | 33531641564300 |
oct | 4773446120220 |
9 | 1183314372348 |
10 | 343003406480 |
11 | 122515532059 |
12 | 56587191868 |
13 | 264641b9067 |
14 | 1285c561600 |
15 | 8dc7bade55 |
hex | 4fdc98a090 |
343003406480 has 120 divisors (see below), whose sum is σ = 936691958592. Its totient is φ = 116459271936.
The previous prime is 343003406441. The next prime is 343003406489. The reversal of 343003406480 is 84604300343.
It is a super-3 number, since 3×3430034064803 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 343003406480.
It is not an unprimeable number, because it can be changed into a prime (343003406489) 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 23 ways as a sum of consecutive naturals, for example, 21002 + ... + 828521.
Almost surely, 2343003406480 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 343003406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468345979296).
343003406480 is an abundant number, since it is smaller than the sum of its proper divisors (593688552112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343003406480 is a wasteful number, since it uses less digits than its factorization.
343003406480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 849653 (or 849640 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 35.
The spelling of 343003406480 in words is "three hundred forty-three billion, three million, four hundred six thousand, four hundred eighty".
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