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4338634068 = 2232284342391
BaseRepresentation
bin1000000101001101…
…00100110101010100
3102012100220110001200
410002212210311110
532341142242233
61554303552500
7212341531626
oct40246446524
912170813050
104338634068
111927055a9a
12a10bbb730
13541b283c2
142d2302c16
151a5d66313
hex1029a4d54

4338634068 has 36 divisors (see below), whose sum is σ = 10971219168. Its totient is φ = 1445668560.

The previous prime is 4338634067. The next prime is 4338634093. The reversal of 4338634068 is 8604368334.

4338634068 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 634 + 0 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338634067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81153 + ... + 123543.

It is an arithmetic number, because the mean of its divisors is an integer number (304756088).

Almost surely, 24338634068 is an apocalyptic number.

It is an amenable number.

4338634068 is an abundant number, since it is smaller than the sum of its proper divisors (6632585100).

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

4338634068 is a wasteful number, since it uses less digits than its factorization.

4338634068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45244 (or 45239 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4338634068 is about 65868.3085254206. The cubic root of 4338634068 is about 1630.9889074882.

The spelling of 4338634068 in words is "four billion, three hundred thirty-eight million, six hundred thirty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2843 5686 8529 11372 17058 25587 34116 42391 51174 84782 102348 127173 169564 254346 381519 508692 763038 1526076 120517613 241035226 361552839 482070452 723105678 1084658517 1446211356 2169317034 4338634068