| Base | Representation |
|---|---|
| bin | 10100110101010… |
| … | …101010111000000 |
| 3 | 220100200201202200 |
| 4 | 110311111113000 |
| 5 | 1203434303230 |
| 6 | 54403313200 |
| 7 | 11442626415 |
| oct | 2465252700 |
| 9 | 810621680 |
| 10 | 349525440 |
| 11 | 16a330700 |
| 12 | 9907b800 |
| 13 | 5754b1b4 |
| 14 | 345c610c |
| 15 | 20a43160 |
| hex | 14d555c0 |
349525440 has 504 divisors, whose sum is σ = 1422897840. Its totient is φ = 78397440.
The previous prime is 349525439. The next prime is 349525441. The reversal of 349525440 is 44525943.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (349525439) and next prime (349525441).
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 = 349525395 and 349525404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349525441) 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 71 ways as a sum of consecutive naturals, for example, 5924131 + ... + 5924189.
It is an arithmetic number, because the mean of its divisors is an integer number (2823210).
Almost surely, 2349525440 is an apocalyptic number.
349525440 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 349525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711448920).
349525440 is an abundant number, since it is smaller than the sum of its proper divisors (1073372400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349525440 is a wasteful number, since it uses less digits than its factorization.
349525440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 349525440 is about 18695.5994822311. The cubic root of 349525440 is about 704.4112180873.
The spelling of 349525440 in words is "three hundred forty-nine million, five hundred twenty-five thousand, four hundred forty".
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