Search a number
-
+
36346356 = 22321009621
BaseRepresentation
bin1000101010100…
…1100111110100
32112101120211100
42022221213310
533301040411
63335010100
7620640024
oct212514764
975346740
1036346356
1119575612
1210209930
1376b7827
144b81a84
1532ce456
hex22a99f4

36346356 has 18 divisors (see below), whose sum is σ = 91875602. Its totient is φ = 12115440.

The previous prime is 36346351. The next prime is 36346379. The reversal of 36346356 is 65364363.

It is a happy number.

36346356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18198756 + 18147600 = 4266^2 + 4260^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1009621 = 36346356 / (3 + 6 + 3 + 4 + 6 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 36346356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36346351) 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 5 ways as a sum of consecutive naturals, for example, 504775 + ... + 504846.

Almost surely, 236346356 is an apocalyptic number.

36346356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36346356 is an abundant number, since it is smaller than the sum of its proper divisors (55529246).

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

36346356 is a wasteful number, since it uses less digits than its factorization.

36346356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009631 (or 1009626 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 36346356 is about 6028.7939092326. The cubic root of 36346356 is about 331.2482750118.

The spelling of 36346356 in words is "thirty-six million, three hundred forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1009621 2019242 3028863 4038484 6057726 9086589 12115452 18173178 36346356