Base | Representation |
---|---|
bin | 10100011110101… |
… | …110110100010000 |
3 | 212221112201010202 |
4 | 110132232310100 |
5 | 1200430203100 |
6 | 54032314332 |
7 | 11341361303 |
oct | 2436566420 |
9 | 787481122 |
10 | 343600400 |
11 | 166a54080 |
12 | 970a29a8 |
13 | 56255360 |
14 | 338c2b3a |
15 | 202727d5 |
hex | 147aed10 |
343600400 has 120 divisors (see below), whose sum is σ = 969979584. Its totient is φ = 115315200.
The previous prime is 343600391. The next prime is 343600403. The reversal of 343600400 is 4006343.
It is a happy number.
It is a super-2 number, since 2×3436004002 = 236122469760320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343600403) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54197 + ... + 60203.
Almost surely, 2343600400 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 343600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484989792).
343600400 is an abundant number, since it is smaller than the sum of its proper divisors (626379184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343600400 is a wasteful number, since it uses less digits than its factorization.
343600400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6049 (or 6038 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 343600400 is about 18536.4613667226. The cubic root of 343600400 is about 700.4081972921.
Adding to 343600400 its reverse (4006343), we get a palindrome (347606743).
The spelling of 343600400 in words is "three hundred forty-three million, six hundred thousand, four hundred".
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