Search a number
-
+
33114432 = 2631313267
BaseRepresentation
bin111111001010…
…0100101000000
32022022101110110
41332110211000
531434130212
63141431320
7551316351
oct176244500
968271413
1033114432
11177683aa
12b10b540
136b25750
14457dd28
152d91a3c
hex1f94940

33114432 has 56 divisors (see below), whose sum is σ = 94362016. Its totient is φ = 10188288.

The previous prime is 33114421. The next prime is 33114439. The reversal of 33114432 is 23441133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33114399 and 33114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4138 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (1685036).

Almost surely, 233114432 is an apocalyptic number.

33114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33114432 is an abundant number, since it is smaller than the sum of its proper divisors (61247584).

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

33114432 is a wasteful number, since it uses less digits than its factorization.

33114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13285 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33114432 is about 5754.5140542013. The cubic root of 33114432 is about 321.1237573681.

Adding to 33114432 its reverse (23441133), we get a palindrome (56555565).

The spelling of 33114432 in words is "thirty-three million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 13267 26534 39801 53068 79602 106136 159204 172471 212272 318408 344942 424544 517413 636816 689884 849088 1034826 1273632 1379768 2069652 2547264 2759536 4139304 5519072 8278608 11038144 16557216 33114432