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2904331164 = 2237231937789
BaseRepresentation
bin1010110100011100…
…1001001110011100
321111102000022100220
42231013021032130
521422002044124
61200105521340
7131654256540
oct25507111634
97442008326
102904331164
111260467a99
126907a3250
13373929267
141d7a21a20
1511ee97879
hexad1c939c

2904331164 has 96 divisors (see below), whose sum is σ = 8124533760. Its totient is φ = 789516288.

The previous prime is 2904331163. The next prime is 2904331189. The reversal of 2904331164 is 4611334092.

2904331164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904331163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368982 + ... + 376770.

It is an arithmetic number, because the mean of its divisors is an integer number (84630560).

Almost surely, 22904331164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2904331164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062266880).

2904331164 is an abundant number, since it is smaller than the sum of its proper divisors (5220202596).

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

2904331164 is a wasteful number, since it uses less digits than its factorization.

2904331164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8019 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2904331164 is about 53891.8469158369. The cubic root of 2904331164 is about 1426.7527281136.

The spelling of 2904331164 in words is "two billion, nine hundred four million, three hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 193 276 322 386 483 579 644 772 966 1158 1351 1932 2316 2702 4053 4439 5404 7789 8106 8878 13317 15578 16212 17756 23367 26634 31073 31156 46734 53268 54523 62146 93219 93468 109046 124292 163569 179147 186438 218092 327138 358294 372876 537441 654276 716588 1074882 1254029 1503277 2149764 2508058 3006554 3762087 4509831 5016116 6013108 7524174 9019662 10522939 15048348 18039324 21045878 31568817 34575371 42091756 63137634 69150742 103726113 126275268 138301484 207452226 242027597 414904452 484055194 726082791 968110388 1452165582 2904331164