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36345505 = 5721091361
BaseRepresentation
bin1000101010100…
…1011010100001
32112101112122211
42022221122201
533301024010
63335002121
7620634400
oct212513241
975345584
1036345505
1119574a09
1210209341
1376b7321
144b81637
1532ce08a
hex22a96a1

36345505 has 24 divisors (see below), whose sum is σ = 51238440. Its totient is φ = 24675840.

The previous prime is 36345503. The next prime is 36345509. The reversal of 36345505 is 50554363.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 34245904 = 1449^2 + 5852^2 .

It is not a de Polignac number, because 36345505 - 21 = 36345503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36345503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26025 + ... + 27385.

It is an arithmetic number, because the mean of its divisors is an integer number (2134935).

Almost surely, 236345505 is an apocalyptic number.

36345505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36345505 is a deficient number, since it is larger than the sum of its proper divisors (14892935).

36345505 is a wasteful number, since it uses less digits than its factorization.

36345505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 36345505 is about 6028.7233308554. The cubic root of 36345505 is about 331.2456897505.

Adding to 36345505 its reverse (50554363), we get a palindrome (86899868).

The spelling of 36345505 in words is "thirty-six million, three hundred forty-five thousand, five hundred five".

Divisors: 1 5 7 35 49 109 245 545 763 1361 3815 5341 6805 9527 26705 47635 66689 148349 333445 741745 1038443 5192215 7269101 36345505