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34250832 = 24327113089
BaseRepresentation
bin1000001010101…
…0000001010000
32101110010022100
42002222001100
532232011312
63222040400
7564061440
oct202520120
971403270
1034250832
1118374180
12b579100
137132a85
144798120
1530185dc
hex20aa050

34250832 has 120 divisors (see below), whose sum is σ = 119545920. Its totient is φ = 8893440.

The previous prime is 34250813. The next prime is 34250873. The reversal of 34250832 is 23805243.

It is a junction number, because it is equal to n+sod(n) for n = 34250796 and 34250805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9544 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (996216).

Almost surely, 234250832 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 34250832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59772960).

34250832 is an abundant number, since it is smaller than the sum of its proper divisors (85295088).

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

34250832 is a wasteful number, since it uses less digits than its factorization.

34250832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34250832 is about 5852.4210374853. The cubic root of 34250832 is about 324.7558940166.

The spelling of 34250832 in words is "thirty-four million, two hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3089 3696 5544 6178 9267 11088 12356 18534 21623 24712 27801 33979 37068 43246 49424 55602 64869 67958 74136 86492 101937 111204 129738 135916 148272 172984 194607 203874 222408 237853 259476 271832 305811 345968 389214 407748 444816 475706 518952 543664 611622 713559 778428 815496 951412 1037904 1223244 1427118 1556856 1630992 1902824 2140677 2446488 2854236 3113712 3805648 4281354 4892976 5708472 8562708 11416944 17125416 34250832