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3071347680 = 253512750383
BaseRepresentation
bin1011011100010001…
…0000101111100000
321221001021121221210
42313010100233200
522242231111210
61224433350120
7136053011262
oct26704205740
97831247853
103071347680
111336771a75
12718708340
1339c4055bb
14211c99b32
1512e988e20
hexb7110be0

3071347680 has 96 divisors (see below), whose sum is σ = 9751117824. Its totient is φ = 812560896.

The previous prime is 3071347667. The next prime is 3071347717. The reversal of 3071347680 is 867431703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35769 + ... + 86151.

It is an arithmetic number, because the mean of its divisors is an integer number (101574144).

Almost surely, 23071347680 is an apocalyptic number.

3071347680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3071347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875558912).

3071347680 is an abundant number, since it is smaller than the sum of its proper divisors (6679770144).

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

3071347680 is a wasteful number, since it uses less digits than its factorization.

3071347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50528 (or 50520 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3071347680 is about 55419.7408871604. The cubic root of 3071347680 is about 1453.5935725283.

The spelling of 3071347680 in words is "three billion, seventy-one million, three hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 50383 60960 100766 151149 201532 251915 302298 403064 503830 604596 755745 806128 1007660 1209192 1511490 1612256 2015320 2418384 3022980 4030640 4836768 6045960 6398641 8061280 12091920 12797282 19195923 24183840 25594564 31993205 38391846 51189128 63986410 76783692 95979615 102378256 127972820 153567384 191959230 204756512 255945640 307134768 383918460 511891280 614269536 767836920 1023782560 1535673840 3071347680