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33766068 = 22373112967
BaseRepresentation
bin1000000011001…
…1101010110100
32100112111100010
42000303222310
532121003233
63203420220
7560002230
oct200635264
970474303
1033766068
1118072a46
12b384670
136cc322b
1446ad5c0
152e6eb63
hex2033ab4

33766068 has 48 divisors (see below), whose sum is σ = 92954624. Its totient is φ = 9335520.

The previous prime is 33766067. The next prime is 33766079. The reversal of 33766068 is 86066733.

It is a happy number.

It is a super-2 number, since 2×337660682 = 2280294696361248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33766067) by changing a digit.

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, 3880 + ... + 9087.

Almost surely, 233766068 is an apocalyptic number.

It is an amenable number.

33766068 is an abundant number, since it is smaller than the sum of its proper divisors (59188556).

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

33766068 is a wasteful number, since it uses less digits than its factorization.

33766068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 33766068 is about 5810.8577680064. The cubic root of 33766068 is about 323.2164804891.

The spelling of 33766068 in words is "thirty-three million, seven hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 12967 25934 38901 51868 77802 90769 155604 181538 272307 363076 401977 544614 803954 1089228 1205931 1607908 2411862 2813839 4823724 5627678 8441517 11255356 16883034 33766068