Base | Representation |
---|---|
bin | 10100101000101… |
… | …100011111001100 |
3 | 220010110101222210 |
4 | 110220230133030 |
5 | 1202112243200 |
6 | 54204310420 |
7 | 11402520210 |
oct | 2450543714 |
9 | 803411883 |
10 | 346212300 |
11 | 168478475 |
12 | 97b42410 |
13 | 5695b165 |
14 | 33da2940 |
15 | 205db650 |
hex | 14a2c7cc |
346212300 has 144 divisors (see below), whose sum is σ = 1205200640. Its totient is φ = 74960640.
The previous prime is 346212283. The next prime is 346212301. The reversal of 346212300 is 3212643.
It is a happy number.
346212300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (346212301) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35562 + ... + 44238.
Almost surely, 2346212300 is an apocalyptic number.
346212300 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 346212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602600320).
346212300 is an abundant number, since it is smaller than the sum of its proper divisors (858988340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
346212300 is a wasteful number, since it uses less digits than its factorization.
346212300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8720 (or 8713 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 346212300 is about 18606.7810219823. The cubic root of 346212300 is about 702.1784515608.
Adding to 346212300 its reverse (3212643), we get a palindrome (349424943).
The spelling of 346212300 in words is "three hundred forty-six million, two hundred twelve thousand, three hundred".
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