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36354 = 237383
BaseRepresentation
bin1000111000000010
31211212110
420320002
52130404
6440150
7210663
oct107002
954773
1036354
112534a
1219056
1313716
14d36a
15ab89
hex8e02

36354 has 16 divisors (see below), whose sum is σ = 74592. Its totient is φ = 11808.

The previous prime is 36353. The next prime is 36373. The reversal of 36354 is 45363.

It is a super-2 number, since 2×363542 = 2643226632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36354.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36354.

It is not an unprimeable number, because it can be changed into a prime (36353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

236354 is an apocalyptic number.

36354 is an abundant number, since it is smaller than the sum of its proper divisors (38238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37296).

36354 is a wasteful number, since it uses less digits than its factorization.

36354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 1080, while the sum is 21.

The square root of 36354 is about 190.6672494164. The cubic root of 36354 is about 33.1271494986.

Subtracting 36354 from its reverse (45363), we obtain a palindrome (9009).

The spelling of 36354 in words is "thirty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 73 83 146 166 219 249 438 498 6059 12118 18177 36354