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3093348384 = 253272366713
BaseRepresentation
bin1011100001100000…
…1100000000100000
321222120200101020200
42320120030000200
522313344122014
61230541105200
7136441012260
oct27030140040
97876611220
103093348384
111348129475
12723b58200
133a3b39579
14214b857a0
15131882a09
hexb860c020

3093348384 has 144 divisors (see below), whose sum is σ = 10490643072. Its totient is φ = 845374464.

The previous prime is 3093348383. The next prime is 3093348389. The reversal of 3093348384 is 4838433903.

3093348384 is a `hidden beast` number, since 3 + 0 + 93 + 3 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30933483842 = 19137608449590822912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3093348383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13012 + ... + 79724.

It is an arithmetic number, because the mean of its divisors is an integer number (72851688).

Almost surely, 23093348384 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 3093348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245321536).

3093348384 is an abundant number, since it is smaller than the sum of its proper divisors (7397294688).

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

3093348384 is a wasteful number, since it uses less digits than its factorization.

3093348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66759 (or 66748 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3093348384 is about 55617.8782766837. The cubic root of 3093348384 is about 1457.0561159768.

The spelling of 3093348384 in words is "three billion, ninety-three million, three hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 66713 133426 200139 266852 400278 466991 533704 600417 800556 933982 1067408 1200834 1400973 1534399 1601112 1867964 2134816 2401668 2801946 3068798 3202224 3735928 4202919 4603197 4803336 5603892 6137596 6404448 7471856 8405838 9206394 9606672 10740793 11207784 12275192 13809591 14943712 16811676 18412788 19213344 21481586 22415568 24550384 27619182 32222379 33623352 36825576 42963172 44831136 49100768 55238364 64444758 67246704 73651152 85926344 96667137 110476728 128889516 134493408 147302304 171852688 193334274 220953456 257779032 343705376 386668548 441906912 515558064 773337096 1031116128 1546674192 3093348384