Base | Representation |
---|---|
bin | 10100100001001… |
… | …011110010000000 |
3 | 212222202101001220 |
4 | 110201023302000 |
5 | 1201111241303 |
6 | 54054155040 |
7 | 11350006602 |
oct | 2441136200 |
9 | 788671056 |
10 | 344243328 |
11 | 167353120 |
12 | 97352a80 |
13 | 5641bba0 |
14 | 33a0d172 |
15 | 2034d053 |
hex | 1484bc80 |
344243328 has 128 divisors (see below), whose sum is σ = 1074427200. Its totient is φ = 96276480.
The previous prime is 344243327. The next prime is 344243329. The reversal of 344243328 is 823342443.
It is an interprime number because it is at equal distance from previous prime (344243327) and next prime (344243329).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (344243327) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51778 + ... + 58046.
Almost surely, 2344243328 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 344243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537213600).
344243328 is an abundant number, since it is smaller than the sum of its proper divisors (730183872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344243328 is a wasteful number, since it uses less digits than its factorization.
344243328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6310 (or 6298 counting only the distinct ones).
The product of its digits is 55296, while the sum is 33.
The square root of 344243328 is about 18553.7955146649. The cubic root of 344243328 is about 700.8447814423.
The spelling of 344243328 in words is "three hundred forty-four million, two hundred forty-three thousand, three hundred twenty-eight".
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