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34870507700 = 225272910611619
BaseRepresentation
bin100000011110011100…
…011011100010110100
310100000012000022220012
4200132130123202310
51032403322221300
624004055555352
72343060265520
oct403634334264
9110005008805
1034870507700
1113874546606
12691208bb58
133399455312
14198b23cd80
15d91502435
hex81e71b8b4

34870507700 has 144 divisors (see below), whose sum is σ = 89600515200. Its totient is φ = 11525337600.

The previous prime is 34870507699. The next prime is 34870507703. The reversal of 34870507700 is 770507843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34870507703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21537491 + ... + 21539109.

It is an arithmetic number, because the mean of its divisors is an integer number (622225800).

Almost surely, 234870507700 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 34870507700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800257600).

34870507700 is an abundant number, since it is smaller than the sum of its proper divisors (54730007500).

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

34870507700 is a wasteful number, since it uses less digits than its factorization.

34870507700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 34870507700 in words is "thirty-four billion, eight hundred seventy million, five hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1061 1450 1619 2030 2122 2900 3238 4060 4244 5075 5305 6476 7427 8095 10150 10610 11333 14854 16190 20300 21220 22666 26525 29708 30769 32380 37135 40475 45332 46951 53050 56665 61538 74270 80950 93902 106100 113330 123076 148540 153845 161900 185675 187804 215383 226660 234755 283325 307690 328657 371350 430766 469510 566650 615380 657314 742700 769225 861532 939020 1076915 1133300 1173775 1314628 1538450 1643285 1717759 2153830 2347550 3076900 3286570 3435518 4307660 4695100 5384575 6573140 6871036 8216425 8588795 10769150 12024313 16432850 17177590 21538300 24048626 32865700 34355180 42943975 48097252 49815011 60121565 85887950 99630022 120243130 171775900 199260044 240486260 249075055 300607825 348705077 498150110 601215650 697410154 996300220 1202431300 1245375275 1394820308 1743525385 2490750550 3487050770 4981501100 6974101540 8717626925 17435253850 34870507700