Search a number
-
+
33670336 = 267174421
BaseRepresentation
bin1000000001110…
…0010011000000
32100100122000111
42000130103000
532104422321
63201401104
7556123150
oct200342300
970318014
1033670336
1118008027
12b339194
136c8b79b
144686760
152e515e1
hex201c4c0

33670336 has 56 divisors (see below), whose sum is σ = 80869536. Its totient is φ = 13578240.

The previous prime is 33670331. The next prime is 33670339. The reversal of 33670336 is 63307633.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×336703362 = 2267383052705792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33670298 and 33670307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33670331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5406 + ... + 9826.

Almost surely, 233670336 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 33670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40434768).

33670336 is an abundant number, since it is smaller than the sum of its proper divisors (47199200).

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

33670336 is a wasteful number, since it uses less digits than its factorization.

33670336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 31.

The square root of 33670336 is about 5802.6145830996. The cubic root of 33670336 is about 322.9107352047.

Adding to 33670336 its reverse (63307633), we get a palindrome (96977969).

The spelling of 33670336 in words is "thirty-three million, six hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 4421 7616 8842 17684 30947 35368 61894 70736 75157 123788 141472 150314 247576 282944 300628 495152 526099 601256 990304 1052198 1202512 1980608 2104396 2405024 4208792 4810048 8417584 16835168 33670336