Search a number
-
+
36422364 = 223111716231
BaseRepresentation
bin1000101011110…
…0001011011100
32112112110002110
42022330023130
533311003424
63340354020
7621404436
oct212741334
975473073
1036422364
1119617730
1210245910
1377132c4
144ba1656
1532e6c29
hex22bc2dc

36422364 has 48 divisors (see below), whose sum is σ = 98171136. Its totient is φ = 10387200.

The previous prime is 36422357. The next prime is 36422369. The reversal of 36422364 is 46322463.

It is a happy number.

36422364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 (36422369) 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 15 ways as a sum of consecutive naturals, for example, 5872 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (2045232).

Almost surely, 236422364 is an apocalyptic number.

36422364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36422364 is an abundant number, since it is smaller than the sum of its proper divisors (61748772).

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

36422364 is a wasteful number, since it uses less digits than its factorization.

36422364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16266 (or 16264 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 36422364 is about 6035.0943654594. The cubic root of 36422364 is about 331.4790178931.

Subtracting 36422364 from its reverse (46322463), we obtain a palindrome (9900099).

It can be divided in two parts, 3642 and 2364, that added together give a palindrome (6006).

The spelling of 36422364 in words is "thirty-six million, four hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 16231 32462 48693 64924 97386 178541 194772 275927 357082 535623 551854 714164 827781 1071246 1103708 1655562 2142492 3035197 3311124 6070394 9105591 12140788 18211182 36422364