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33880812 = 22371492707
BaseRepresentation
bin1000000100111…
…1101011101100
32100202022201220
42001033223230
532133141222
63210103340
7560660610
oct201175354
970668656
1033880812
1118141179
12b41ab50
137033524
1446dd340
152e93b5c
hex204faec

33880812 has 48 divisors (see below), whose sum is σ = 90988800. Its totient is φ = 9611712.

The previous prime is 33880811. The next prime is 33880823. The reversal of 33880812 is 21808833.

33880812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338808122 = 2295818843558688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33880811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (1895600).

Almost surely, 233880812 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 33880812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45494400).

33880812 is an abundant number, since it is smaller than the sum of its proper divisors (57107988).

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

33880812 is a wasteful number, since it uses less digits than its factorization.

33880812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 33880812 is about 5820.7226355496. The cubic root of 33880812 is about 323.5821851077.

The spelling of 33880812 in words is "thirty-three million, eight hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 2707 3129 4172 5414 6258 8121 10828 12516 16242 18949 32484 37898 56847 75796 113694 227388 403343 806686 1210029 1613372 2420058 2823401 4840116 5646802 8470203 11293604 16940406 33880812