Base | Representation |
---|---|
bin | 10100011110111… |
… | …111000101111000 |
3 | 212221200002120210 |
4 | 110132333011320 |
5 | 1200434321224 |
6 | 54033551120 |
7 | 11342056536 |
oct | 2436770570 |
9 | 787602523 |
10 | 343667064 |
11 | 166a9a174 |
12 | 971154a0 |
13 | 562797c0 |
14 | 338dd156 |
15 | 20287429 |
hex | 147bf178 |
343667064 has 128 divisors (see below), whose sum is σ = 954777600. Its totient is φ = 102435840.
The previous prime is 343667021. The next prime is 343667069. The reversal of 343667064 is 460766343.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343667069) 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 31 ways as a sum of consecutive naturals, for example, 1799209 + ... + 1799399.
It is an arithmetic number, because the mean of its divisors is an integer number (7459200).
Almost surely, 2343667064 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 343667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477388800).
343667064 is an abundant number, since it is smaller than the sum of its proper divisors (611110536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343667064 is a wasteful number, since it uses less digits than its factorization.
343667064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365 (or 361 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 39.
The square root of 343667064 is about 18538.2594652249. The cubic root of 343667064 is about 700.4534911788.
It can be divided in two parts, 3436 and 67064, that added together give a triangular number (70500 = T375).
The spelling of 343667064 in words is "three hundred forty-three million, six hundred sixty-seven thousand, sixty-four".
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