Base | Representation |
---|---|
bin | 10101001100110… |
… | …011111100101101 |
3 | 220210021102022000 |
4 | 111030303330231 |
5 | 1212023230140 |
6 | 55143242513 |
7 | 11546142030 |
oct | 2514637455 |
9 | 823242260 |
10 | 355680045 |
11 | 172854756 |
12 | 9b149439 |
13 | 588c4686 |
14 | 35349017 |
15 | 2135ba30 |
hex | 15333f2d |
355680045 has 64 divisors (see below), whose sum is σ = 730944000. Its totient is φ = 160731648.
The previous prime is 355680007. The next prime is 355680049. The reversal of 355680045 is 540086553.
It is not a de Polignac number, because 355680045 - 211 = 355677997 is a prime.
It is a super-2 number, since 2×3556800452 = 253016588822404050, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 355679991 and 355680009.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (355680049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81991 + ... + 86219.
It is an arithmetic number, because the mean of its divisors is an integer number (11421000).
Almost surely, 2355680045 is an apocalyptic number.
355680045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.
It is an amenable number.
355680045 is an abundant number, since it is smaller than the sum of its proper divisors (375263955).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355680045 is a wasteful number, since it uses less digits than its factorization.
355680045 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4339 (or 4333 counting only the distinct ones).
The product of its (nonzero) digits is 72000, while the sum is 36.
The square root of 355680045 is about 18859.4815676359. The cubic root of 355680045 is about 708.5217175833.
The spelling of 355680045 in words is "three hundred fifty-five million, six hundred eighty thousand, forty-five".
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