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34326920 = 2351931247
BaseRepresentation
bin1000001011110…
…0100110001000
32101120222200102
42002330212020
532241430140
63223424532
7564526325
oct202744610
971528612
1034326920
1118416361
12b5b5148
13715b5b4
1447b7b4c
153030e15
hex20bc988

34326920 has 96 divisors (see below), whose sum is σ = 85795200. Its totient is φ = 12320640.

The previous prime is 34326917. The next prime is 34326931. The reversal of 34326920 is 2962343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730337 + ... + 730383.

It is an arithmetic number, because the mean of its divisors is an integer number (893700).

Almost surely, 234326920 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 34326920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897600).

34326920 is an abundant number, since it is smaller than the sum of its proper divisors (51468280).

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

34326920 is a wasteful number, since it uses less digits than its factorization.

34326920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 34326920 is about 5858.9179888440. The cubic root of 34326920 is about 324.9961971942.

The spelling of 34326920 in words is "thirty-four million, three hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 47 62 76 94 95 124 152 155 188 190 235 248 310 376 380 470 589 620 760 893 940 961 1178 1240 1457 1786 1880 1922 2356 2914 2945 3572 3844 4465 4712 4805 5828 5890 7144 7285 7688 8930 9610 11656 11780 14570 17860 18259 19220 23560 27683 29140 35720 36518 38440 45167 55366 58280 73036 90334 91295 110732 138415 146072 180668 182590 221464 225835 276830 361336 365180 451670 553660 730360 858173 903340 1107320 1716346 1806680 3432692 4290865 6865384 8581730 17163460 34326920