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33104196 = 22322937857
BaseRepresentation
bin111111001001…
…0000101000100
32022021212102100
41332102011010
531433313241
63141312100
7551244456
oct176220504
968255370
1033104196
1117760744
12b105630
136b20ba8
14457a2d6
152d8d9b6
hex1f92144

33104196 has 72 divisors (see below), whose sum is σ = 89008920. Its totient is φ = 10354176.

The previous prime is 33104191. The next prime is 33104207. The reversal of 33104196 is 69140133.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 13176900 = 4464^2 + 3630^2 .

It is not an unprimeable number, because it can be changed into a prime (33104191) 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 23 ways as a sum of consecutive naturals, for example, 38200 + ... + 39056.

It is an arithmetic number, because the mean of its divisors is an integer number (1236235).

Almost surely, 233104196 is an apocalyptic number.

33104196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33104196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44504460).

33104196 is an abundant number, since it is smaller than the sum of its proper divisors (55904724).

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

33104196 is a wasteful number, since it uses less digits than its factorization.

33104196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 33104196 is about 5753.6245967216. The cubic root of 33104196 is about 321.0906664435.

The spelling of 33104196 in words is "thirty-three million, one hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 857 1044 1073 1332 1714 2146 2571 3219 3428 4292 5142 6438 7713 9657 10284 12876 15426 19314 24853 30852 31709 38628 49706 63418 74559 95127 99412 126836 149118 190254 223677 285381 298236 380508 447354 570762 894708 919561 1141524 1839122 2758683 3678244 5517366 8276049 11034732 16552098 33104196