Base | Representation |
---|---|
bin | 10100110110000… |
… | …010110110000000 |
3 | 220101001012022211 |
4 | 110312002312000 |
5 | 1204011233434 |
6 | 54411311504 |
7 | 11444333524 |
oct | 2466026600 |
9 | 811035284 |
10 | 349711744 |
11 | 16a448678 |
12 | 9914b594 |
13 | 575b4c35 |
14 | 34633d84 |
15 | 20a7d464 |
hex | 14d82d80 |
349711744 has 48 divisors (see below), whose sum is σ = 720143460. Its totient is φ = 169155840.
The previous prime is 349711741. The next prime is 349711759. The reversal of 349711744 is 447117943.
349711744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 349711697 and 349711706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349711741) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121587 + ... + 124429.
Almost surely, 2349711744 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 349711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360071730).
349711744 is an abundant number, since it is smaller than the sum of its proper divisors (370431716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349711744 is an equidigital number, since it uses as much as digits as its factorization.
349711744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2919 (or 2876 counting only the distinct ones).
The product of its digits is 84672, while the sum is 40.
The square root of 349711744 is about 18700.5813813368. The cubic root of 349711744 is about 704.5363509127.
The spelling of 349711744 in words is "three hundred forty-nine million, seven hundred eleven thousand, seven hundred forty-four".
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