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3064006680 = 233573647627
BaseRepresentation
bin1011011010100001…
…0000100000011000
321220112110122222220
42312220100200120
522233341203210
61224012144040
7135633425040
oct26650204030
97815418886
103064006680
111332608629
12716168020
1339aa35107
14210d08720
1512ded8c70
hexb6a10818

3064006680 has 64 divisors (see below), whose sum is σ = 10505168640. Its totient is φ = 700344192.

The previous prime is 3064006651. The next prime is 3064006717. The reversal of 3064006680 is 866004603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822974 + ... + 1824653.

It is an arithmetic number, because the mean of its divisors is an integer number (164143260).

Almost surely, 23064006680 is an apocalyptic number.

3064006680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3064006680 is an abundant number, since it is smaller than the sum of its proper divisors (7441161960).

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

3064006680 is a wasteful number, since it uses less digits than its factorization.

3064006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647648 (or 3647644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3064006680 is about 55353.4703519120. The cubic root of 3064006680 is about 1452.4345434977.

The spelling of 3064006680 in words is "three billion, sixty-four million, six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3647627 7295254 10942881 14590508 18238135 21885762 25533389 29181016 36476270 43771524 51066778 54714405 72952540 76600167 87543048 102133556 109428810 127666945 145905080 153200334 204267112 218857620 255333890 306400668 383000835 437715240 510667780 612801336 766001670 1021335560 1532003340 3064006680