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36112314 = 23721131087
BaseRepresentation
bin1000100111000…
…0011110111010
32111221200210010
42021300132322
533221043224
63330002350
7615643500
oct211603672
974850703
1036112314
1119425797
12101163b6
137635144
144b20670
153284e29
hex22707ba

36112314 has 48 divisors (see below), whose sum is σ = 84837888. Its totient is φ = 10217088.

The previous prime is 36112273. The next prime is 36112319. The reversal of 36112314 is 41321163.

36112314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36112319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32679 + ... + 33765.

It is an arithmetic number, because the mean of its divisors is an integer number (1767456).

Almost surely, 236112314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36112314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42418944).

36112314 is an abundant number, since it is smaller than the sum of its proper divisors (48725574).

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

36112314 is a wasteful number, since it uses less digits than its factorization.

36112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 36112314 is about 6009.3522113452. The cubic root of 36112314 is about 330.5357504987.

Adding to 36112314 its reverse (41321163), we get a palindrome (77433477).

The spelling of 36112314 in words is "thirty-six million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 678 791 1087 1582 2174 2373 3261 4746 5537 6522 7609 11074 15218 16611 22827 33222 45654 53263 106526 122831 159789 245662 319578 368493 736986 859817 1719634 2579451 5158902 6018719 12037438 18056157 36112314