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34204940 = 225721119167
BaseRepresentation
bin1000001001111…
…0110100001100
32101100210100122
42002132310030
532224024230
63221044112
7563510600
oct202366414
971323318
1034204940
1118342750
12b556638
137117c13
144785500
153009be5
hex209ed0c

34204940 has 144 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 10039680.

The previous prime is 34204903. The next prime is 34205021. The reversal of 34204940 is 4940243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204737 + ... + 204903.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 234204940 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 34204940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34204940 is an abundant number, since it is smaller than the sum of its proper divisors (62321140).

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

34204940 is a wasteful number, since it uses less digits than its factorization.

34204940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 34204940 is about 5848.4989527228. The cubic root of 34204940 is about 324.6107845602.

The spelling of 34204940 in words is "thirty-four million, two hundred four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 95 98 110 133 140 154 167 190 196 209 220 245 266 308 334 380 385 418 490 532 539 665 668 770 835 836 931 980 1045 1078 1169 1330 1463 1540 1670 1837 1862 2090 2156 2338 2660 2695 2926 3173 3340 3674 3724 4180 4655 4676 5390 5845 5852 6346 7315 7348 8183 9185 9310 10241 10780 11690 12692 12859 14630 15865 16366 18370 18620 20482 22211 23380 25718 29260 31730 32732 34903 36740 40915 40964 44422 51205 51436 63460 64295 69806 81830 88844 90013 102410 111055 128590 139612 155477 163660 174515 180026 204820 222110 244321 257180 310954 349030 360052 444220 450065 488642 621908 698060 777385 900130 977284 1221605 1554770 1710247 1800260 2443210 3109540 3420494 4886420 6840988 8551235 17102470 34204940