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355303361 = 7253136813
BaseRepresentation
bin10101001011010…
…111111111000001
3220202120021120202
4111023113333001
51211424201421
655131214545
711543012600
oct2513277701
9822507522
10355303361
11172617746
129aba7455
13587c209a
143528ba37
15212d510b
hex152d7fc1

355303361 has 12 divisors (see below), whose sum is σ = 421113492. Its totient is φ = 298797408.

The previous prime is 355303339. The next prime is 355303381. The reversal of 355303361 is 163303553.

It can be written as a sum of positive squares in 2 ways, for example, as 263737600 + 91565761 = 16240^2 + 9569^2 .

It is not a de Polignac number, because 355303361 - 218 = 355041217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (355303381) 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 11 ways as a sum of consecutive naturals, for example, 65810 + ... + 71003.

It is an arithmetic number, because the mean of its divisors is an integer number (35092791).

Almost surely, 2355303361 is an apocalyptic number.

It is an amenable number.

355303361 is a deficient number, since it is larger than the sum of its proper divisors (65810131).

355303361 is a wasteful number, since it uses less digits than its factorization.

355303361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136880 (or 136873 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 29.

The square root of 355303361 is about 18849.4923273811. The cubic root of 355303361 is about 708.2715085632.

The spelling of 355303361 in words is "three hundred fifty-five million, three hundred three thousand, three hundred sixty-one".

Divisors: 1 7 49 53 371 2597 136813 957691 6703837 7251089 50757623 355303361