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33640068 = 2237311743
BaseRepresentation
bin1000000001010…
…0111010000100
32100022002111110
42000110322010
532102440233
63201005020
7555636000
oct200247204
970262443
1033640068
1117a97310
12b323770
136c7aa87
144679700
152e47663
hex2014e84

33640068 has 96 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 8725920.

The previous prime is 33640063. The next prime is 33640069. The reversal of 33640068 is 86004633.

It is a super-2 number, since 2×336400682 = 2263308350089248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33640063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44905 + ... + 45647.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 233640068 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 33640068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

33640068 is an abundant number, since it is smaller than the sum of its proper divisors (66353532).

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

33640068 is a wasteful number, since it uses less digits than its factorization.

33640068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 33640068 is about 5800.0058620660. The cubic root of 33640068 is about 322.8139458297.

It can be divided in two parts, 336 and 40068, that added together give a palindrome (40404).

The spelling of 33640068 in words is "thirty-three million, six hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 743 924 1029 1078 1372 1486 1617 2058 2156 2229 2972 3234 3773 4116 4458 5201 6468 7546 8173 8916 10402 11319 15092 15603 16346 20804 22638 24519 31206 32692 36407 45276 49038 57211 62412 72814 98076 109221 114422 145628 171633 218442 228844 254849 343266 400477 436884 509698 686532 764547 800954 1019396 1201431 1529094 1601908 2402862 2803339 3058188 4805724 5606678 8410017 11213356 16820034 33640068