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36410634 = 2361317113
BaseRepresentation
bin1000101011100…
…1010100001010
32112111212000000
42022321110022
533310120014
63340223430
7621325311
oct212712412
975455000
1036410634
1119609937
121023ab76
13770ab70
144b9b278
1532e3509
hex22b950a

36410634 has 112 divisors (see below), whose sum is σ = 94199112. Its totient is φ = 10450944.

The previous prime is 36410623. The next prime is 36410639. The reversal of 36410634 is 43601463.

It can be written as a sum of positive squares in 4 ways, for example, as 18896409 + 17514225 = 4347^2 + 4185^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36410598 and 36410607.

It is not an unprimeable number, because it can be changed into a prime (36410639) 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 55 ways as a sum of consecutive naturals, for example, 322162 + ... + 322274.

Almost surely, 236410634 is an apocalyptic number.

36410634 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36410634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099556).

36410634 is an abundant number, since it is smaller than the sum of its proper divisors (57788478).

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

36410634 is a wasteful number, since it uses less digits than its factorization.

36410634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36410634 is about 6034.1224714121. The cubic root of 36410634 is about 331.4434292607.

The spelling of 36410634 in words is "thirty-six million, four hundred ten thousand, six hundred thirty-four".