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34421100 = 22352737443
BaseRepresentation
bin1000001101001…
…1100101101100
32101202202212120
42003103211230
532302433400
63225432540
7565401030
oct203234554
971682776
1034421100
111848009a
12b63b750
13719241c
1448001c0
15304dca0
hex20d396c

34421100 has 144 divisors (see below), whose sum is σ = 117159168. Its totient is φ = 7637760.

The previous prime is 34421077. The next prime is 34421111. The reversal of 34421100 is 112443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34421100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77479 + ... + 77921.

Almost surely, 234421100 is an apocalyptic number.

34421100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579584).

34421100 is an abundant number, since it is smaller than the sum of its proper divisors (82738068).

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

34421100 is a wasteful number, since it uses less digits than its factorization.

34421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34421100 is about 5866.9498037737. The cubic root of 34421100 is about 325.2931477321.

Adding to 34421100 its reverse (112443), we get a palindrome (34533543).

The spelling of 34421100 in words is "thirty-four million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 443 444 518 525 555 700 740 777 886 925 1036 1050 1110 1295 1329 1554 1772 1850 2100 2215 2220 2590 2658 2775 3101 3108 3700 3885 4430 5180 5316 5550 6202 6475 6645 7770 8860 9303 11075 11100 12404 12950 13290 15505 15540 16391 18606 19425 22150 25900 26580 31010 32782 33225 37212 38850 44300 46515 49173 62020 65564 66450 77525 77700 81955 93030 98346 114737 132900 155050 163910 186060 196692 229474 232575 245865 310100 327820 344211 409775 458948 465150 491730 573685 688422 819550 930300 983460 1147370 1229325 1376844 1639100 1721055 2294740 2458650 2868425 3442110 4917300 5736850 6884220 8605275 11473700 17210550 34421100