Base | Representation |
---|---|
bin | 10100100010110… |
… | …101010001100000 |
3 | 220000120022210110 |
4 | 110202311101200 |
5 | 1201214103144 |
6 | 54111331320 |
7 | 11353456422 |
oct | 2442652140 |
9 | 800508713 |
10 | 344675424 |
11 | 167618825 |
12 | 97520b40 |
13 | 56540772 |
14 | 33ac2812 |
15 | 203d60b9 |
hex | 148b5460 |
344675424 has 96 divisors (see below), whose sum is σ = 969857280. Its totient is φ = 106900992.
The previous prime is 344675417. The next prime is 344675431. The reversal of 344675424 is 424576443.
It is an interprime number because it is at equal distance from previous prime (344675417) and next prime (344675431).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3446754242 = 237602295819159552, which contains 22 as substring.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 79587 + ... + 83805.
It is an arithmetic number, because the mean of its divisors is an integer number (10102680).
Almost surely, 2344675424 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 344675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484928640).
344675424 is an abundant number, since it is smaller than the sum of its proper divisors (625181856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344675424 is a wasteful number, since it uses less digits than its factorization.
344675424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4292 (or 4284 counting only the distinct ones).
The product of its digits is 322560, while the sum is 39.
The square root of 344675424 is about 18565.4362728162. The cubic root of 344675424 is about 701.1378934988.
The spelling of 344675424 in words is "three hundred forty-four million, six hundred seventy-five thousand, four hundred twenty-four".
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