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3290680160 = 25559359971
BaseRepresentation
bin1100010000100011…
…1100101101100000
322111022222212112222
43010020330231200
523214403231120
61302310410212
7144355214465
oct30410745540
98438885488
103290680160
111439559789
1277a060968
1340599b231
1423307166c
15143d61525
hexc423cb60

3290680160 has 96 divisors (see below), whose sum is σ = 7936185600. Its totient is φ = 1289029120.

The previous prime is 3290680147. The next prime is 3290680181. The reversal of 3290680160 is 610860923.

It is a self number, because there is not a number n which added to its sum of digits gives 3290680160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388475 + ... + 3389445.

It is an arithmetic number, because the mean of its divisors is an integer number (82668600).

Almost surely, 23290680160 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 3290680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968092800).

3290680160 is an abundant number, since it is smaller than the sum of its proper divisors (4645505440).

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

3290680160 is a wasteful number, since it uses less digits than its factorization.

3290680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3290680160 is about 57364.4503155046. The cubic root of 3290680160 is about 1487.4026729155.

The spelling of 3290680160 in words is "three billion, two hundred ninety million, six hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 359 472 590 718 944 971 1180 1436 1795 1888 1942 2360 2872 3590 3884 4720 4855 5744 7180 7768 9440 9710 11488 14360 15536 19420 21181 28720 31072 38840 42362 57289 57440 77680 84724 105905 114578 155360 169448 211810 229156 286445 338896 348589 423620 458312 572890 677792 697178 847240 916624 1145780 1394356 1694480 1742945 1833248 2291560 2788712 3388960 3485890 4583120 5577424 6971780 9166240 11154848 13943560 20566751 27887120 41133502 55774240 82267004 102833755 164534008 205667510 329068016 411335020 658136032 822670040 1645340080 3290680160