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3670104040 = 235476132003
BaseRepresentation
bin1101101011000001…
…0101011111101000
3100110202221121021021
43122300111133220
530004021312130
61404103022224
7156643240531
oct33260253750
910422847237
103670104040
111613750539
1286513a974
134664870c5
1426b5db688
1516730d37a
hexdac157e8

3670104040 has 64 divisors (see below), whose sum is σ = 8571951360. Its totient is φ = 1413208320.

The previous prime is 3670104017. The next prime is 3670104047. The reversal of 3670104040 is 404010763.

It is a junction number, because it is equal to n+sod(n) for n = 3670103996 and 3670104014.

It is not an unprimeable number, because it can be changed into a prime (3670104047) 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 15 ways as a sum of consecutive naturals, for example, 98679 + ... + 130681.

It is an arithmetic number, because the mean of its divisors is an integer number (133936740).

Almost surely, 23670104040 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 3670104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285975680).

3670104040 is an abundant number, since it is smaller than the sum of its proper divisors (4901847320).

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

3670104040 is a wasteful number, since it uses less digits than its factorization.

3670104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32122 (or 32118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3670104040 is about 60581.3836091584. The cubic root of 3670104040 is about 1542.5033832442.

The spelling of 3670104040 in words is "three billion, six hundred seventy million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1880 2440 2867 5734 11468 14335 22936 28670 32003 57340 64006 114680 128012 160015 256024 320030 640060 1280120 1504141 1952183 3008282 3904366 6016564 7520705 7808732 9760915 12033128 15041410 15617464 19521830 30082820 39043660 60165640 78087320 91752601 183505202 367010404 458763005 734020808 917526010 1835052020 3670104040