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33678138 = 23134110531
BaseRepresentation
bin1000000001111…
…0001100111010
32100101000201110
42000132030322
532110200023
63201501150
7556154664
oct200361472
970330643
1033678138
111801297a
12b3417b6
136c921c0
144689534
152e53a93
hex201e33a

33678138 has 32 divisors (see below), whose sum is σ = 74313792. Its totient is φ = 10108800.

The previous prime is 33678137. The next prime is 33678191. The reversal of 33678138 is 83187633.

It is a super-2 number, since 2×336781382 = 2268433958294088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 33678096 and 33678105.

It is not an unprimeable number, because it can be changed into a prime (33678133) 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, 2068 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (2322306).

Almost surely, 233678138 is an apocalyptic number.

33678138 is an abundant number, since it is smaller than the sum of its proper divisors (40635654).

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

33678138 is a wasteful number, since it uses less digits than its factorization.

33678138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590.

The product of its digits is 72576, while the sum is 39.

The square root of 33678138 is about 5803.2868273074. The cubic root of 33678138 is about 322.9356746152.

The spelling of 33678138 in words is "thirty-three million, six hundred seventy-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 3198 10531 21062 31593 63186 136903 273806 410709 431771 821418 863542 1295313 2590626 5613023 11226046 16839069 33678138