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355680045 = 3357894229
BaseRepresentation
bin10101001100110…
…011111100101101
3220210021102022000
4111030303330231
51212023230140
655143242513
711546142030
oct2514637455
9823242260
10355680045
11172854756
129b149439
13588c4686
1435349017
152135ba30
hex15333f2d

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".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 89 105 135 189 267 315 445 623 801 945 1335 1869 2403 3115 4005 4229 5607 9345 12015 12687 16821 21145 28035 29603 38061 63435 84105 88809 114183 148015 190305 266427 376381 444045 570915 799281 1129143 1332135 1881905 2634667 3387429 3996405 5645715 7904001 10162287 13173335 16937145 23712003 39520005 50811435 71136009 118560015 355680045