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33430012 = 22711311349
BaseRepresentation
bin111111110000…
…1100111111100
32022220102100121
41333201213330
532024230022
63152304324
7554102410
oct177414774
968812317
1033430012
1117963510
12b2420a4
136c06295
144622d40
152e052c7
hex1fe19fc

33430012 has 48 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 12945600.

The previous prime is 33429967. The next prime is 33430027. The reversal of 33430012 is 21003433.

It is a super-2 number, since 2×334300122 = 2235131404640288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95614 + ... + 95962.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 233430012 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 33430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

33430012 is an abundant number, since it is smaller than the sum of its proper divisors (39952388).

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

33430012 is a wasteful number, since it uses less digits than its factorization.

33430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33430012 is about 5781.8692479163. The cubic root of 33430012 is about 322.1406353002.

Adding to 33430012 its reverse (21003433), we get a palindrome (54433445).

The spelling of 33430012 in words is "thirty-three million, four hundred thirty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 311 349 622 698 1244 1396 2177 2443 3421 3839 4354 4886 6842 7678 8708 9772 13684 15356 23947 26873 47894 53746 95788 107492 108539 217078 434156 759773 1193929 1519546 2387858 3039092 4775716 8357503 16715006 33430012