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34318620 = 22335721297
BaseRepresentation
bin1000001011101…
…0100100011100
32101120120022000
42002322210130
532241143440
63223322300
7564463200
oct202724434
971516260
1034318620
11184100a6
12b5b0390
13715789b
1447b4b00
15302d730
hex20ba91c

34318620 has 144 divisors (see below), whose sum is σ = 124296480. Its totient is φ = 7838208.

The previous prime is 34318619. The next prime is 34318639. The reversal of 34318620 is 2681343.

It is a happy number.

34318620 is a `hidden beast` number, since 3 + 4 + 31 + 8 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 25812 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (863170).

Almost surely, 234318620 is an apocalyptic number.

34318620 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 34318620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62148240).

34318620 is an abundant number, since it is smaller than the sum of its proper divisors (89977860).

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

34318620 is a wasteful number, since it uses less digits than its factorization.

34318620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34318620 is about 5858.2096241087. The cubic root of 34318620 is about 324.9700011758.

Adding to 34318620 its reverse (2681343), we get a palindrome (36999963).

It can be divided in two parts, 343186 and 20, that added together give a triangular number (343206 = T828).

The spelling of 34318620 in words is "thirty-four million, three hundred eighteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1297 1323 1470 1764 1890 2205 2594 2646 2940 3780 3891 4410 5188 5292 6485 6615 7782 8820 9079 11673 12970 13230 15564 18158 19455 23346 25940 26460 27237 35019 36316 38910 45395 46692 54474 58365 63553 70038 77820 81711 90790 108948 116730 127106 136185 140076 163422 175095 181580 190659 233460 245133 254212 272370 317765 326844 350190 381318 408555 490266 544740 571977 635530 700380 762636 817110 953295 980532 1143954 1225665 1271060 1634220 1715931 1906590 2287908 2451330 2859885 3431862 3813180 4902660 5719770 6863724 8579655 11439540 17159310 34318620