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3084017720 = 2357831311013
BaseRepresentation
bin1011011111010010…
…0110000000111000
321221221010022222112
42313310212000320
522304002031340
61230005111452
7136265501210
oct26764460070
97857108875
103084017720
111342936183
127209b8588
133a1c20574
14213837240
15130b3d065
hexb7d26038

3084017720 has 128 divisors (see below), whose sum is σ = 8095127040. Its totient is φ = 1035640320.

The previous prime is 3084017707. The next prime is 3084017743. The reversal of 3084017720 is 277104803.

It is a happy number.

It is a super-2 number, since 2×30840177202 = 19022330594547996800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043934 + ... + 3044946.

It is an arithmetic number, because the mean of its divisors is an integer number (63243180).

Almost surely, 23084017720 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 3084017720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047563520).

3084017720 is an abundant number, since it is smaller than the sum of its proper divisors (5011109320).

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

3084017720 is a wasteful number, since it uses less digits than its factorization.

3084017720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 3084017720 is about 55533.9330499831. The cubic root of 3084017720 is about 1455.5896367479.

The spelling of 3084017720 in words is "three billion, eighty-four million, seventeen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 131 140 166 262 280 332 415 524 581 655 664 830 917 1013 1048 1162 1310 1660 1834 2026 2324 2620 2905 3320 3668 4052 4585 4648 5065 5240 5810 7091 7336 8104 9170 10130 10873 11620 14182 18340 20260 21746 23240 28364 35455 36680 40520 43492 54365 56728 70910 76111 84079 86984 108730 132703 141820 152222 168158 217460 265406 283640 304444 336316 380555 420395 434920 530812 588553 608888 663515 672632 761110 840790 928921 1061624 1177106 1327030 1522220 1681580 1857842 2354212 2654060 2942765 3044440 3363160 3715684 4644605 4708424 5308120 5885530 7431368 9289210 11014349 11771060 18578420 22028698 23542120 37156840 44057396 55071745 77100443 88114792 110143490 154200886 220286980 308401772 385502215 440573960 616803544 771004430 1542008860 3084017720