Base | Representation |
---|---|
bin | 10100011110110… |
… | …100111001110000 |
3 | 212221120222100000 |
4 | 110132310321300 |
5 | 1200432002303 |
6 | 54033030000 |
7 | 11341524054 |
oct | 2436647160 |
9 | 787528300 |
10 | 343625328 |
11 | 166a70882 |
12 | 970b5300 |
13 | 562637c7 |
14 | 338cbc64 |
15 | 20279da3 |
hex | 147b4e70 |
343625328 has 120 divisors (see below), whose sum is σ = 1029822976. Its totient is φ = 110808000.
The previous prime is 343625309. The next prime is 343625329. The reversal of 343625328 is 823526343.
It is a happy number.
343625328 is a `hidden beast` number, since 3 + 4 + 3 + 625 + 3 + 28 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 343625292 and 343625301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343625329) 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, 119103 + ... + 121953.
Almost surely, 2343625328 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 343625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514911488).
343625328 is an abundant number, since it is smaller than the sum of its proper divisors (686197648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343625328 is a wasteful number, since it uses less digits than its factorization.
343625328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2905 (or 2887 counting only the distinct ones).
The product of its digits is 103680, while the sum is 36.
The square root of 343625328 is about 18537.1337590254. The cubic root of 343625328 is about 700.4251349454.
The spelling of 343625328 in words is "three hundred forty-three million, six hundred twenty-five thousand, three hundred twenty-eight".
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