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34505240 = 23571117659
BaseRepresentation
bin1000001110100…
…0001000011000
32101221001021212
42003220020120
532313131430
63231322252
7566201240
oct203501030
971831255
1034505240
1118528330
12b680388
1371c1803
144822b20
153068b95
hex20e8218

34505240 has 128 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 10106880.

The previous prime is 34505239. The next prime is 34505243. The reversal of 34505240 is 4250543.

It is a super-2 number, since 2×345052402 = 2381223174915200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52031 + ... + 52689.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 234505240 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 34505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600).

34505240 is an abundant number, since it is smaller than the sum of its proper divisors (68137960).

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

34505240 is a wasteful number, since it uses less digits than its factorization.

34505240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 34505240 is about 5874.1161037215. The cubic root of 34505240 is about 325.5579842635.

Adding to 34505240 its reverse (4250543), we get a palindrome (38755783).

The spelling of 34505240 in words is "thirty-four million, five hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 659 680 748 770 935 952 1190 1309 1318 1496 1540 1870 2380 2618 2636 3080 3295 3740 4613 4760 5236 5272 6545 6590 7249 7480 9226 10472 11203 13090 13180 14498 18452 22406 23065 26180 26360 28996 36245 36904 44812 46130 50743 52360 56015 57992 72490 78421 89624 92260 101486 112030 123233 144980 156842 184520 202972 224060 246466 253715 289960 313684 392105 405944 448120 492932 507430 616165 627368 784210 862631 985864 1014860 1232330 1568420 1725262 2029720 2464660 3136840 3450524 4313155 4929320 6901048 8626310 17252620 34505240