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33240820 = 2251662041
BaseRepresentation
bin111111011001…
…1011011110100
32022112210211111
41332303123310
532002201240
63144244404
7552354004
oct176633364
968483744
1033240820
1117844358
12b170704
136b6b132
1445b4004
152db91ea
hex1fb36f4

33240820 has 12 divisors (see below), whose sum is σ = 69805764. Its totient is φ = 13296320.

The previous prime is 33240811. The next prime is 33240829. The reversal of 33240820 is 2804233.

It is an interprime number because it is at equal distance from previous prime (33240811) and next prime (33240829).

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 8916196 = 4932^2 + 2986^2 .

It is a super-2 number, since 2×332408202 = 2209904228544800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33240791 and 33240800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831001 + ... + 831040.

It is an arithmetic number, because the mean of its divisors is an integer number (5817147).

Almost surely, 233240820 is an apocalyptic number.

It is an amenable number.

33240820 is an abundant number, since it is smaller than the sum of its proper divisors (36564944).

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

33240820 is a wasteful number, since it uses less digits than its factorization.

33240820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662050 (or 1662048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 33240820 is about 5765.4852354334. The cubic root of 33240820 is about 321.5317835271.

The spelling of 33240820 in words is "thirty-three million, two hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1662041 3324082 6648164 8310205 16620410 33240820