Base | Representation |
---|---|
bin | 10100100100100… |
… | …100010101111010 |
3 | 220001102102212000 |
4 | 110210210111322 |
5 | 1201323132422 |
6 | 54125201430 |
7 | 11360362653 |
oct | 2444442572 |
9 | 801372760 |
10 | 345130362 |
11 | 1678a9605 |
12 | 97700276 |
13 | 5666c865 |
14 | 33ba052a |
15 | 20475cac |
hex | 1492457a |
345130362 has 64 divisors (see below), whose sum is σ = 814976640. Its totient is φ = 107889408.
The previous prime is 345130337. The next prime is 345130369. The reversal of 345130362 is 263031543.
It is a happy number.
It is a super-3 number, since 3×3451303623 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (345130369) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 363973 + ... + 364919.
It is an arithmetic number, because the mean of its divisors is an integer number (12734010).
Almost surely, 2345130362 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 345130362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407488320).
345130362 is an abundant number, since it is smaller than the sum of its proper divisors (469846278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345130362 is a wasteful number, since it uses less digits than its factorization.
345130362 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 345130362 is about 18577.6845166452. The cubic root of 345130362 is about 701.4462357954.
The spelling of 345130362 in words is "three hundred forty-five million, one hundred thirty thousand, three hundred sixty-two".
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