Base | Representation |
---|---|
bin | 10100110110000… |
… | …111001011010000 |
3 | 220101002002200000 |
4 | 110312013023100 |
5 | 1204012320423 |
6 | 54411530000 |
7 | 11444436333 |
oct | 2466071320 |
9 | 811062600 |
10 | 349729488 |
11 | 16a45aa39 |
12 | 99159900 |
13 | 575c0034 |
14 | 3463a61a |
15 | 20a83843 |
hex | 14d872d0 |
349729488 has 120 divisors (see below), whose sum is σ = 1021788768. Its totient is φ = 115800192.
The previous prime is 349729483. The next prime is 349729489. The reversal of 349729488 is 884927943.
349729488 is a `hidden beast` number, since 349 + 7 + 294 + 8 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349729483) 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 23 ways as a sum of consecutive naturals, for example, 1139031 + ... + 1139337.
Almost surely, 2349729488 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 349729488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510894384).
349729488 is an abundant number, since it is smaller than the sum of its proper divisors (672059280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349729488 is a wasteful number, since it uses less digits than its factorization.
349729488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 623 (or 605 counting only the distinct ones).
The product of its digits is 3483648, while the sum is 54.
The square root of 349729488 is about 18701.0557990719. The cubic root of 349729488 is about 704.5482665182.
The spelling of 349729488 in words is "three hundred forty-nine million, seven hundred twenty-nine thousand, four hundred eighty-eight".
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