| Base | Representation |
|---|---|
| bin | 10100100000101… |
| … | …011000100000000 |
| 3 | 212222111120020100 |
| 4 | 110200223010000 |
| 5 | 1201042444222 |
| 6 | 54051242400 |
| 7 | 11345611101 |
| oct | 2440530400 |
| 9 | 788446210 |
| 10 | 344109312 |
| 11 | 167271468 |
| 12 | 972a9400 |
| 13 | 563a2ba1 |
| 14 | 339b63a8 |
| 15 | 203234ac |
| hex | 1482b100 |
344109312 has 108 divisors (see below), whose sum is σ = 997964604. Its totient is φ = 114032640.
The previous prime is 344109307. The next prime is 344109317. The reversal of 344109312 is 213901443.
344109312 is a `hidden beast` number, since 344 + 1 + 0 + 9 + 312 = 666.
It is an interprime number because it is at equal distance from previous prime (344109307) and next prime (344109317).
It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 146313216 = 14064^2 + 12096^2 .
It is a super-2 number, since 2×3441093122 = 236822437210226688, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (344109317) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536512 + ... + 537152.
It is an arithmetic number, because the mean of its divisors is an integer number (9240413).
Almost surely, 2344109312 is an apocalyptic number.
344109312 is a gapful number since it is divisible by the number (32) 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 344109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498982302).
344109312 is an abundant number, since it is smaller than the sum of its proper divisors (653855292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344109312 is a wasteful number, since it uses less digits than its factorization.
344109312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 896 (or 879 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 344109312 is about 18550.1836109511. The cubic root of 344109312 is about 700.7538219400.
The spelling of 344109312 in words is "three hundred forty-four million, one hundred nine thousand, three hundred twelve".
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