Base | Representation |
---|---|
bin | 10100100110111… |
… | …001111100000000 |
3 | 220002120120101011 |
4 | 110212321330000 |
5 | 1202002234404 |
6 | 54150250304 |
7 | 11365524250 |
oct | 2446717400 |
9 | 802516334 |
10 | 345743104 |
11 | 168187a03 |
12 | 97956994 |
13 | 56825725 |
14 | 33cbd960 |
15 | 20547604 |
hex | 149b9f00 |
345743104 has 72 divisors (see below), whose sum is σ = 816046560. Its totient is φ = 143044608.
The previous prime is 345743023. The next prime is 345743131. The reversal of 345743104 is 401347543.
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 7 ways as a sum of consecutive naturals, for example, 48642 + ... + 55294.
It is an arithmetic number, because the mean of its divisors is an integer number (11333980).
Almost surely, 2345743104 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 345743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408023280).
345743104 is an abundant number, since it is smaller than the sum of its proper divisors (470303456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345743104 is an equidigital number, since it uses as much as digits as its factorization.
345743104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6705 (or 6691 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 31.
The square root of 345743104 is about 18594.1685482304. The cubic root of 345743104 is about 701.8611046000.
The spelling of 345743104 in words is "three hundred forty-five million, seven hundred forty-three thousand, one hundred four".
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