Search a number
-
+
33131364 = 22371920759
BaseRepresentation
bin111111001100…
…0101101100100
32022100020200120
41332120231210
531440200424
63142041540
7551416620
oct176305544
968306616
1033131364
111777a0a2
12b1192b0
136b30376
144586180
152d96a79
hex1f98b64

33131364 has 48 divisors (see below), whose sum is σ = 93004800. Its totient is φ = 8967456.

The previous prime is 33131323. The next prime is 33131387. The reversal of 33131364 is 46313133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8784 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (1937600).

Almost surely, 233131364 is an apocalyptic number.

It is an amenable number.

33131364 is an abundant number, since it is smaller than the sum of its proper divisors (59873436).

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

33131364 is a wasteful number, since it uses less digits than its factorization.

33131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20792 (or 20790 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 33131364 is about 5755.9850590494. The cubic root of 33131364 is about 321.1784801448.

Adding to 33131364 its reverse (46313133), we get a palindrome (79444497).

The spelling of 33131364 in words is "thirty-three million, one hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 20759 41518 62277 83036 124554 145313 249108 290626 394421 435939 581252 788842 871878 1183263 1577684 1743756 2366526 2760947 4733052 5521894 8282841 11043788 16565682 33131364