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34040052 = 22321755621
BaseRepresentation
bin1000000111011…
…0100011110100
32101001102011200
42001312203310
532203240202
63213332500
7562223064
oct201664364
971042150
1034040052
111823a882
12b497130
13708ab57
1447413a4
152ec5e1c
hex20768f4

34040052 has 36 divisors (see below), whose sum is σ = 91108836. Its totient is φ = 10679040.

The previous prime is 34040009. The next prime is 34040057. The reversal of 34040052 is 25004043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 21123216 = 3594^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27199 + ... + 28422.

It is an arithmetic number, because the mean of its divisors is an integer number (2530801).

Almost surely, 234040052 is an apocalyptic number.

It is an amenable number.

34040052 is an abundant number, since it is smaller than the sum of its proper divisors (57068784).

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

34040052 is a wasteful number, since it uses less digits than its factorization.

34040052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55648 (or 55643 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34040052 is about 5834.3853146668. The cubic root of 34040052 is about 324.0883389665.

Adding to 34040052 its reverse (25004043), we get a palindrome (59044095).

The spelling of 34040052 in words is "thirty-four million, forty thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 55621 111242 166863 222484 333726 500589 667452 945557 1001178 1891114 2002356 2836671 3782228 5673342 8510013 11346684 17020026 34040052