| Base | Representation |
|---|---|
| bin | 10100100001100… |
| … | …111010111100000 |
| 3 | 212222222010001210 |
| 4 | 110201213113200 |
| 5 | 1201123400240 |
| 6 | 54100430120 |
| 7 | 11350660200 |
| oct | 2441472740 |
| 9 | 788863053 |
| 10 | 344356320 |
| 11 | 167420000 |
| 12 | 973a8340 |
| 13 | 5645b449 |
| 14 | 33a3c400 |
| 15 | 20371780 |
| hex | 148675e0 |
344356320 has 360 divisors, whose sum is σ = 1387993320. Its totient is φ = 71554560.
The previous prime is 344356303. The next prime is 344356333. The reversal of 344356320 is 23653443.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
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 59 ways as a sum of consecutive naturals, for example, 31305115 + ... + 31305125.
It is an arithmetic number, because the mean of its divisors is an integer number (3855537).
Almost surely, 2344356320 is an apocalyptic number.
344356320 is a gapful number since it is divisible by the number (30) 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 344356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693996660).
344356320 is an abundant number, since it is smaller than the sum of its proper divisors (1043637000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344356320 is an equidigital number, since it uses as much as digits as its factorization.
344356320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 30.
The square root of 344356320 is about 18556.8402482750. The cubic root of 344356320 is about 700.9214531688.
Multiplying 344356320 by its sum of digits (30), we get a square (10330689600 = 1016402).
344356320 divided by its sum of digits (30) gives a square (11478544 = 33882).
It can be divided in two parts, 34435 and 6320, that added together give a triangular number (40755 = T285).
The spelling of 344356320 in words is "three hundred forty-four million, three hundred fifty-six thousand, three hundred twenty".
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