Search a number
-
+
33134232 = 23341151223
BaseRepresentation
bin111111001100…
…1011010011000
32022100101121210
41332121122120
531440243412
63142103120
7551431155
oct176313230
968311553
1033134232
111778126a
12b11aaa0
136b31771
14458722c
152d9783c
hex1f99698

33134232 has 64 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 10656000.

The previous prime is 33134219. The next prime is 33134249. The reversal of 33134232 is 23243133.

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 = 33134199 and 33134208.

It is a congruent number.

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, 148473 + ... + 148695.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 233134232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

33134232 is an abundant number, since it is smaller than the sum of its proper divisors (52666728).

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

33134232 is a wasteful number, since it uses less digits than its factorization.

33134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 33134232 is about 5756.2341856460. The cubic root of 33134232 is about 321.1877474290.

Adding to 33134232 its reverse (23243133), we get a palindrome (56377365).

The spelling of 33134232 in words is "thirty-three million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 151 164 223 246 302 328 446 453 492 604 669 892 906 984 1208 1338 1784 1812 2676 3624 5352 6191 9143 12382 18286 18573 24764 27429 33673 36572 37146 49528 54858 67346 73144 74292 101019 109716 134692 148584 202038 219432 269384 404076 808152 1380593 2761186 4141779 5522372 8283558 11044744 16567116 33134232