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34116636 = 22323711741
BaseRepresentation
bin1000001000100…
…1010000011100
32101012022020010
42002021100130
532213213021
63215123220
7562662261
oct202112034
971168203
1034116636
1118292374
12b513510
1370b6978
144761268
152edd976
hex208941c

34116636 has 48 divisors (see below), whose sum is σ = 84284928. Its totient is φ = 10718400.

The previous prime is 34116631. The next prime is 34116697. The reversal of 34116636 is 63661143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18726 + ... + 20466.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 234116636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34116636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42142464).

34116636 is an abundant number, since it is smaller than the sum of its proper divisors (50168292).

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

34116636 is a wasteful number, since it uses less digits than its factorization.

34116636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1840 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 34116636 is about 5840.9447865906. The cubic root of 34116636 is about 324.3312037647.

Adding to 34116636 its reverse (63661143), we get a palindrome (97777779).

The spelling of 34116636 in words is "thirty-four million, one hundred sixteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1633 1741 3266 3482 4899 5223 6532 6964 9798 10446 19596 20892 40043 80086 120129 123611 160172 240258 247222 370833 480516 494444 741666 1483332 2843053 5686106 8529159 11372212 17058318 34116636