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3084327680 = 28571720249
BaseRepresentation
bin1011011111010111…
…0001101100000000
321221221201002011112
42313311301230000
522304041441210
61230015502452
7136301231660
oct26765615400
97857632145
103084327680
111343028045
12720b27a28
133a1ccb685
142138b81a0
15130b9ed05
hexb7d71b00

3084327680 has 144 divisors (see below), whose sum is σ = 8940456000. Its totient is φ = 995229696.

The previous prime is 3084327679. The next prime is 3084327691. The reversal of 3084327680 is 867234803.

3084327680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30843276802 = 19026154475228364800, which contains 22 as substring.

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, 142196 + ... + 162444.

It is an arithmetic number, because the mean of its divisors is an integer number (62086500).

Almost surely, 23084327680 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 3084327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470228000).

3084327680 is an abundant number, since it is smaller than the sum of its proper divisors (5856128320).

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

3084327680 is a wasteful number, since it uses less digits than its factorization.

3084327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 20280 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3084327680 is about 55536.7237060308. The cubic root of 3084327680 is about 1455.6383999189.

The spelling of 3084327680 in words is "three billion, eighty-four million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 20249 21760 30464 38080 40498 76160 80996 101245 141743 152320 161992 202490 283486 323984 344233 404980 566972 647968 688466 708715 809960 1133944 1295936 1376932 1417430 1619920 1721165 2267888 2409631 2591872 2753864 2834860 3239840 3442330 4535776 4819262 5183744 5507728 5669720 6479680 6884660 9071552 9638524 11015456 11339440 12048155 12959360 13769320 18143104 19277048 22030912 22678880 24096310 25918720 27538640 36286208 38554096 44061824 45357760 48192620 55077280 77108192 88123648 90715520 96385240 110154560 154216384 181431040 192770480 220309120 308432768 385540960 440618240 616865536 771081920 1542163840 3084327680