Search a number
-
+
34173020 = 22571929443
BaseRepresentation
bin1000001001011…
…1000001011100
32101022011120102
42002113001130
532222014040
63220240232
7563315540
oct202270134
971264512
1034173020
1118320772
12b540078
13710652b
144777a20
153000515
hex209705c

34173020 has 96 divisors (see below), whose sum is σ = 89510400. Its totient is φ = 10692864.

The previous prime is 34173019. The next prime is 34173059. The reversal of 34173020 is 2037143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34172983 and 34173001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76919 + ... + 77361.

It is an arithmetic number, because the mean of its divisors is an integer number (932400).

Almost surely, 234173020 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 34173020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755200).

34173020 is an abundant number, since it is smaller than the sum of its proper divisors (55337380).

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

34173020 is a wasteful number, since it uses less digits than its factorization.

34173020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34173020 is about 5845.7694104369. The cubic root of 34173020 is about 324.5097776974.

The spelling of 34173020 in words is "thirty-four million, one hundred seventy-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 443 532 551 580 665 812 886 1015 1102 1330 1772 2030 2204 2215 2660 2755 3101 3857 4060 4430 5510 6202 7714 8417 8860 11020 12404 12847 15428 15505 16834 19285 25694 31010 33668 38570 42085 51388 58919 62020 64235 77140 84170 89929 117838 128470 168340 179858 235676 244093 256940 294595 359716 449645 488186 589190 899290 976372 1178380 1220465 1708651 1798580 2440930 3417302 4881860 6834604 8543255 17086510 34173020