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34420848 = 24371167139
BaseRepresentation
bin1000001101001…
…1100001110000
32101202202112020
42003103201300
532302431343
63225431440
7565400220
oct203234160
971682466
1034420848
111847a990
12b63b580
137192287
144800080
15304db83
hex20d3870

34420848 has 160 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 8743680.

The previous prime is 34420829. The next prime is 34420889. The reversal of 34420848 is 84802443.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 247563 + ... + 247701.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 234420848 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 34420848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

34420848 is an abundant number, since it is smaller than the sum of its proper divisors (78905232).

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

34420848 is a wasteful number, since it uses less digits than its factorization.

34420848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 34420848 is about 5866.9283274981. The cubic root of 34420848 is about 325.2923538966.

It can be divided in two parts, 3 and 4420848, that added together give a triangular number (4420851 = T2973).

The spelling of 34420848 in words is "thirty-four million, four hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 67 77 84 88 112 132 134 139 154 168 176 201 231 264 268 278 308 336 402 417 462 469 528 536 556 616 737 804 834 924 938 973 1072 1112 1232 1407 1474 1529 1608 1668 1848 1876 1946 2211 2224 2814 2919 2948 3058 3216 3336 3696 3752 3892 4422 4587 5159 5628 5838 5896 6116 6672 7504 7784 8844 9174 9313 10318 10703 11256 11676 11792 12232 15477 15568 17688 18348 18626 20636 21406 22512 23352 24464 27939 30954 32109 35376 36696 37252 41272 42812 46704 55878 61908 64218 65191 73392 74504 82544 85624 102443 111756 123816 128436 130382 149008 171248 195573 204886 223512 247632 256872 260764 307329 391146 409772 447024 513744 521528 614658 717101 782292 819544 1043056 1229316 1434202 1564584 1639088 2151303 2458632 2868404 3129168 4302606 4917264 5736808 8605212 11473616 17210424 34420848