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34405350 = 23527231151
BaseRepresentation
bin1000001100111…
…1101111100110
32101201222021020
42003033233212
532301432400
63225232010
7565304100
oct203175746
971658236
1034405350
111846a281
12b632606
1371881c5
1447d8570
1530492a0
hex20cfbe6

34405350 has 144 divisors (see below), whose sum is σ = 103136256. Its totient is φ = 7560000.

The previous prime is 34405307. The next prime is 34405373. The reversal of 34405350 is 5350443.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34405350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227775 + ... + 227925.

It is an arithmetic number, because the mean of its divisors is an integer number (716224).

Almost surely, 234405350 is an apocalyptic number.

34405350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34405350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51568128).

34405350 is an abundant number, since it is smaller than the sum of its proper divisors (68730906).

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

34405350 is a wasteful number, since it uses less digits than its factorization.

34405350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 34405350 is about 5865.6073854291. The cubic root of 34405350 is about 325.2435255652.

Adding to 34405350 its reverse (5350443), we get a palindrome (39755793).

The spelling of 34405350 in words is "thirty-four million, four hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 49 50 62 70 75 93 98 105 147 150 151 155 175 186 210 217 245 294 302 310 350 434 453 465 490 525 651 735 755 775 906 930 1050 1057 1085 1225 1302 1470 1510 1519 1550 2114 2170 2265 2325 2450 3038 3171 3255 3675 3775 4530 4557 4650 4681 5285 5425 6342 6510 7350 7399 7550 7595 9114 9362 10570 10850 11325 14043 14798 15190 15855 16275 22197 22650 22785 23405 26425 28086 31710 32550 32767 36995 37975 44394 45570 46810 52850 65534 70215 73990 75950 79275 98301 110985 113925 117025 140430 158550 163835 184975 196602 221970 227850 229369 234050 327670 351075 369950 458738 491505 554925 688107 702150 819175 983010 1109850 1146845 1376214 1638350 2293690 2457525 3440535 4915050 5734225 6881070 11468450 17202675 34405350