Base | Representation |
---|---|
bin | 10100100001001… |
… | …001011111010100 |
3 | 212222201220012012 |
4 | 110201021133110 |
5 | 1201110441230 |
6 | 54054043352 |
7 | 11346640331 |
oct | 2441113724 |
9 | 788656165 |
10 | 344233940 |
11 | 167347066 |
12 | 97349558 |
13 | 5641782b |
14 | 33a09988 |
15 | 2034a395 |
hex | 148497d4 |
344233940 has 96 divisors (see below), whose sum is σ = 773587584. Its totient is φ = 128494080.
The previous prime is 344233937. The next prime is 344233943. The reversal of 344233940 is 49332443.
It is an interprime number because it is at equal distance from previous prime (344233937) and next prime (344233943).
It is a junction number, because it is equal to n+sod(n) for n = 344233897 and 344233906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (344233943) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627675 + ... + 2627805.
It is an arithmetic number, because the mean of its divisors is an integer number (8058204).
Almost surely, 2344233940 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 344233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386793792).
344233940 is an abundant number, since it is smaller than the sum of its proper divisors (429353644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344233940 is a wasteful number, since it uses less digits than its factorization.
344233940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 32.
The square root of 344233940 is about 18553.5425188830. The cubic root of 344233940 is about 700.8384103766.
The spelling of 344233940 in words is "three hundred forty-four million, two hundred thirty-three thousand, nine hundred forty".
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