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33668742 = 2337433527
BaseRepresentation
bin1000000001101…
…1111010000110
32100100112211110
42000123322012
532104344432
63201345450
7556115412
oct200337206
970315743
1033668742
1118006908
12b338286
136c8ab43
144685d42
152e50dcc
hex201be86

33668742 has 32 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 10662624.

The previous prime is 33668731. The next prime is 33668771. The reversal of 33668742 is 24786633.

It is a super-2 number, since 2×336687422 = 2267168375725128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 33668742.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7783 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 233668742 is an apocalyptic number.

33668742 is an abundant number, since it is smaller than the sum of its proper divisors (37117050).

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

33668742 is a wasteful number, since it uses less digits than its factorization.

33668742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612.

The product of its digits is 145152, while the sum is 39.

The square root of 33668742 is about 5802.4772295977. The cubic root of 33668742 is about 322.9056394449.

The spelling of 33668742 in words is "thirty-three million, six hundred sixty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 37 43 74 86 111 129 222 258 1591 3182 3527 4773 7054 9546 10581 21162 130499 151661 260998 303322 391497 454983 782994 909966 5611457 11222914 16834371 33668742