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3084521040 = 243353893671
BaseRepresentation
bin1011011111011010…
…0000111001010000
321221222001220102000
42313312200321100
522304114133130
61230023554000
7136302665466
oct26766407120
97858056360
103084521040
11134314a347
12720bbb900
133a20686a3
14213928836
15130bdc260
hexb7da0e50

3084521040 has 160 divisors (see below), whose sum is σ = 10654675200. Its totient is φ = 820200960.

The previous prime is 3084521023. The next prime is 3084521051. The reversal of 3084521040 is 401254803.

3084521040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3084520995 and 3084521013.

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, 838405 + ... + 842075.

It is an arithmetic number, because the mean of its divisors is an integer number (66591720).

Almost surely, 23084521040 is an apocalyptic number.

3084521040 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 3084521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327337600).

3084521040 is an abundant number, since it is smaller than the sum of its proper divisors (7570154160).

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

3084521040 is a wasteful number, since it uses less digits than its factorization.

3084521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3084521040 is about 55538.4645088429. The cubic root of 3084521040 is about 1455.6688178239.

Adding to 3084521040 its reverse (401254803), we get a palindrome (3485775843).

The spelling of 3084521040 in words is "three billion, eighty-four million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 389 432 540 720 778 1080 1167 1556 1945 2160 2334 3112 3501 3671 3890 4668 5835 6224 7002 7342 7780 9336 10503 11013 11670 14004 14684 15560 17505 18355 18672 21006 22026 23340 28008 29368 31120 33039 35010 36710 42012 44052 46680 52515 55065 56016 58736 66078 70020 73420 84024 88104 93360 99117 105030 110130 132156 140040 146840 165195 168048 176208 198234 210060 220260 264312 280080 293680 330390 396468 420120 440520 495585 528624 660780 792936 840240 881040 991170 1321560 1428019 1585872 1982340 2643120 2856038 3964680 4284057 5712076 7140095 7929360 8568114 11424152 12852171 14280190 17136228 21420285 22848304 25704342 28560380 34272456 38556513 42840570 51408684 57120760 64260855 68544912 77113026 85681140 102817368 114241520 128521710 154226052 171362280 192782565 205634736 257043420 308452104 342724560 385565130 514086840 616904208 771130260 1028173680 1542260520 3084521040