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33040040 = 23511611231
BaseRepresentation
bin111111000001…
…0011010101000
32022011121102012
41332002122220
531424240130
63140055052
7550556435
oct176023250
968147365
1033040040
1117717520
12b094488
136aca927
144560b8c
152d79995
hex1f826a8

33040040 has 64 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 11808000.

The previous prime is 33040009. The next prime is 33040057. The reversal of 33040040 is 4004033.

It is a junction number, because it is equal to n+sod(n) for n = 33039997 and 33040024.

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, 26225 + ... + 27455.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 233040040 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 33040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

33040040 is an abundant number, since it is smaller than the sum of its proper divisors (49454680).

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

33040040 is a wasteful number, since it uses less digits than its factorization.

33040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 33040040 is about 5748.0466247239. The cubic root of 33040040 is about 320.8831075116.

Adding to 33040040 its reverse (4004033), we get a palindrome (37044073).

The spelling of 33040040 in words is "thirty-three million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1231 1342 2440 2462 2684 3355 4924 5368 6155 6710 9848 12310 13420 13541 24620 26840 27082 49240 54164 67705 75091 108328 135410 150182 270820 300364 375455 541640 600728 750910 826001 1501820 1652002 3003640 3304004 4130005 6608008 8260010 16520020 33040040