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36378 = 2324347
BaseRepresentation
bin1000111000011010
31211220100
420320122
52131003
6440230
7211026
oct107032
954810
1036378
1125371
1219076
1313734
14d386
15aba3
hex8e1a

36378 has 24 divisors (see below), whose sum is σ = 82368. Its totient is φ = 11592.

The previous prime is 36373. The next prime is 36383. The reversal of 36378 is 87363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36373) and next prime (36383).

It is not an unprimeable number, because it can be changed into a prime (36373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

236378 is an apocalyptic number.

36378 is an abundant number, since it is smaller than the sum of its proper divisors (45990).

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 (41184).

36378 is a wasteful number, since it uses less digits than its factorization.

36378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 95 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36378 is about 190.7301759030. The cubic root of 36378 is about 33.1344377997.

It can be divided in two parts, 363 and 78, that added together give a square (441 = 212).

The spelling of 36378 in words is "thirty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 43 47 86 94 129 141 258 282 387 423 774 846 2021 4042 6063 12126 18189 36378