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3000164319 = 33149745753
BaseRepresentation
bin1011001011010010…
…1101111111011111
321202002100010202000
42302310231333133
522121020224234
61213411533343
7134226655515
oct26264557737
97662303660
103000164319
1112aa572949
126b88ba253
1338a741279
1420664a4b5
151285c7899
hexb2d2dfdf

3000164319 has 16 divisors (see below), whose sum is σ = 4474524000. Its totient is φ = 1986683328.

The previous prime is 3000164311. The next prime is 3000164329. The reversal of 3000164319 is 9134610003.

3000164319 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 1 + 643 + 19 = 666.

It is not a de Polignac number, because 3000164319 - 23 = 3000164311 is a prime.

It is a super-2 number, since 2×30001643192 = 18001971882001467522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3000164292 and 3000164301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000164311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368854 + ... + 376899.

It is an arithmetic number, because the mean of its divisors is an integer number (279657750).

Almost surely, 23000164319 is an apocalyptic number.

3000164319 is a deficient number, since it is larger than the sum of its proper divisors (1474359681).

3000164319 is a wasteful number, since it uses less digits than its factorization.

3000164319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745911 (or 745905 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3000164319 is about 54773.7557503591. The cubic root of 3000164319 is about 1442.2759019386.

The spelling of 3000164319 in words is "three billion, one hundred sixty-four thousand, three hundred nineteen".

Divisors: 1 3 9 27 149 447 1341 4023 745753 2237259 6711777 20135331 111117197 333351591 1000054773 3000164319