Base | Representation |
---|---|
bin | 10100100001001… |
… | …111000001101000 |
3 | 212222210001022001 |
4 | 110201033001220 |
5 | 1201112202431 |
6 | 54054340344 |
7 | 11350063414 |
oct | 2441170150 |
9 | 788701261 |
10 | 344256616 |
11 | 167362100 |
12 | 9735a6b4 |
13 | 56424c52 |
14 | 33a13d44 |
15 | 20351e61 |
hex | 1484f068 |
344256616 has 48 divisors (see below), whose sum is σ = 713052900. Its totient is φ = 155696640.
The previous prime is 344256587. The next prime is 344256631. The reversal of 344256616 is 616652443.
It can be written as a sum of positive squares in 2 ways, for example, as 343954116 + 302500 = 18546^2 + 550^2 .
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
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 11 ways as a sum of consecutive naturals, for example, 220896 + ... + 222448.
Almost surely, 2344256616 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 344256616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356526450).
344256616 is an abundant number, since it is smaller than the sum of its proper divisors (368796284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344256616 is a wasteful number, since it uses less digits than its factorization.
344256616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1810 (or 1795 counting only the distinct ones).
The product of its digits is 103680, while the sum is 37.
The square root of 344256616 is about 18554.1536050557. The cubic root of 344256616 is about 700.8537990033.
It can be divided in two parts, 34425 and 6616, that added together give a triangular number (41041 = T286).
The spelling of 344256616 in words is "three hundred forty-four million, two hundred fifty-six thousand, six hundred sixteen".
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