Base | Representation |
---|---|
bin | 10100100101101… |
… | …011111110000000 |
3 | 220001222100022000 |
4 | 110211223332000 |
5 | 1201412024434 |
6 | 54135344000 |
7 | 11363024211 |
oct | 2445537600 |
9 | 801870260 |
10 | 345423744 |
11 | 167a89a76 |
12 | 97822000 |
13 | 56743263 |
14 | 33c39408 |
15 | 204d2b99 |
hex | 1496bf80 |
345423744 has 128 divisors (see below), whose sum is σ = 1028812800. Its totient is φ = 114089472.
The previous prime is 345423739. The next prime is 345423751. The reversal of 345423744 is 447324543.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 345423699 and 345423708.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438519 + ... + 439305.
It is an arithmetic number, because the mean of its divisors is an integer number (8037600).
Almost surely, 2345423744 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 345423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514406400).
345423744 is an abundant number, since it is smaller than the sum of its proper divisors (683389056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345423744 is a wasteful number, since it uses less digits than its factorization.
345423744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 937 (or 919 counting only the distinct ones).
The product of its digits is 161280, while the sum is 36.
The square root of 345423744 is about 18585.5789256079. The cubic root of 345423744 is about 701.6449369606.
The spelling of 345423744 in words is "three hundred forty-five million, four hundred twenty-three thousand, seven hundred forty-four".
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