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3486530000 = 24541720509
BaseRepresentation
bin1100111111010000…
…0011100111010000
322222222112002000202
43033310003213100
524120022430000
61333544234332
7152254005332
oct31764034720
98888462022
103486530000
11152a067658
1281376b9a8
13437431505
14251093452
1515614add5
hexcfd039d0

3486530000 has 100 divisors (see below), whose sum is σ = 8938216980. Its totient is φ = 1312512000.

The previous prime is 3486529993. The next prime is 3486530081. The reversal of 3486530000 is 356843.

3486530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2711909776 + 774620224 = 52076^2 + 27832^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159746 + ... + 180254.

Almost surely, 23486530000 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 3486530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469108490).

3486530000 is an abundant number, since it is smaller than the sum of its proper divisors (5451686980).

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

3486530000 is a wasteful number, since it uses less digits than its factorization.

3486530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20554 (or 20533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3486530000 is about 59046.8458090693. The cubic root of 3486530000 is about 1516.3442269641.

Adding to 3486530000 its reverse (356843), we get a palindrome (3486886843).

The spelling of 3486530000 in words is "three billion, four hundred eighty-six million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 20509 21250 34000 41018 42500 82036 85000 102545 164072 170000 205090 328144 348653 410180 512725 697306 820360 1025450 1394612 1640720 1743265 2050900 2563625 2789224 3486530 4101800 5127250 5578448 6973060 8203600 8716325 10254500 12818125 13946120 17432650 20509000 25636250 27892240 34865300 41018000 43581625 51272500 69730600 87163250 102545000 139461200 174326500 205090000 217908125 348653000 435816250 697306000 871632500 1743265000 3486530000