Base | Representation |
---|---|
bin | 10101000110111… |
… | …100101111100000 |
3 | 220200101100010211 |
4 | 111012330233200 |
5 | 1211130040300 |
6 | 55050303504 |
7 | 11530111315 |
oct | 2506745740 |
9 | 820340124 |
10 | 354143200 |
11 | 1719a5034 |
12 | 9a727b94 |
13 | 584a6cb8 |
14 | 35068d0c |
15 | 211564ba |
hex | 151bcbe0 |
354143200 has 72 divisors (see below), whose sum is σ = 870647400. Its totient is φ = 140659200.
The previous prime is 354143197. The next prime is 354143203. The reversal of 354143200 is 2341453.
It is an interprime number because it is at equal distance from previous prime (354143197) and next prime (354143203).
It is a super-2 number, since 2×3541432002 = 250834812212480000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354143203) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117715 + ... + 120685.
It is an arithmetic number, because the mean of its divisors is an integer number (12092325).
Almost surely, 2354143200 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 354143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435323700).
354143200 is an abundant number, since it is smaller than the sum of its proper divisors (516504200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354143200 is a wasteful number, since it uses less digits than its factorization.
354143200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3140 (or 3127 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
The square root of 354143200 is about 18818.6928345196. The cubic root of 354143200 is about 707.4997690069.
Adding to 354143200 its reverse (2341453), we get a palindrome (356484653).
The spelling of 354143200 in words is "three hundred fifty-four million, one hundred forty-three thousand, two hundred".
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