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3091780080 = 243256476637
BaseRepresentation
bin1011100001001000…
…1101000111110000
321222110201200221100
42320102031013300
522312443430310
61230443324400
7136421461044
oct27022150760
97873650840
103091780080
111347258154
12723520700
133a370a78c
14214898024
15131672ec0
hexb848d1f0

3091780080 has 120 divisors (see below), whose sum is σ = 10400843232. Its totient is φ = 823076352.

The previous prime is 3091780061. The next prime is 3091780141. The reversal of 3091780080 is 800871903.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×30917800803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462522 + ... + 469158.

Almost surely, 23091780080 is an apocalyptic number.

3091780080 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 3091780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200421616).

3091780080 is an abundant number, since it is smaller than the sum of its proper divisors (7309063152).

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

3091780080 is a wasteful number, since it uses less digits than its factorization.

3091780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3091780080 is about 55603.7775695141. Note that the first 3 decimals coincide. The cubic root of 3091780080 is about 1456.8098355780.

The spelling of 3091780080 in words is "three billion, ninety-one million, seven hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 647 720 1294 1941 2588 3235 3882 5176 5823 6470 6637 7764 9705 10352 11646 12940 13274 15528 19410 19911 23292 25880 26548 29115 31056 33185 38820 39822 46584 51760 53096 58230 59733 66370 77640 79644 93168 99555 106192 116460 119466 132740 155280 159288 199110 232920 238932 265480 298665 318576 398220 465840 477864 530960 597330 796440 955728 1194660 1592880 2389320 4294139 4778640 8588278 12882417 17176556 21470695 25764834 34353112 38647251 42941390 51529668 64412085 68706224 77294502 85882780 103059336 128824170 154589004 171765560 193236255 206118672 257648340 309178008 343531120 386472510 515296680 618356016 772945020 1030593360 1545890040 3091780080