Base | Representation |
---|---|
bin | 10100100000010… |
… | …110000110000000 |
3 | 212222100012102022 |
4 | 110200112012000 |
5 | 1201032222144 |
6 | 54045341012 |
7 | 11345102513 |
oct | 2440260600 |
9 | 788305368 |
10 | 344023424 |
11 | 167212988 |
12 | 97267768 |
13 | 56372a74 |
14 | 33992d7a |
15 | 20307cee |
hex | 14816180 |
344023424 has 128 divisors (see below), whose sum is σ = 783237600. Its totient is φ = 149520384.
The previous prime is 344023391. The next prime is 344023453. The reversal of 344023424 is 424320443.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 344023393 and 344023402.
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, 2191154 + ... + 2191310.
Almost surely, 2344023424 is an apocalyptic number.
344023424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 344023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391618800).
344023424 is an abundant number, since it is smaller than the sum of its proper divisors (439214176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344023424 is a wasteful number, since it uses less digits than its factorization.
344023424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 260 (or 248 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 26.
The square root of 344023424 is about 18547.8684489620. The cubic root of 344023424 is about 700.6955155141.
Adding to 344023424 its reverse (424320443), we get a palindrome (768343867).
It can be divided in two parts, 34 and 4023424, that multiplied together give a square (136796416 = 116962).
The spelling of 344023424 in words is "three hundred forty-four million, twenty-three thousand, four hundred twenty-four".
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