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3064993344 = 2634784463
BaseRepresentation
bin1011011010110000…
…0001011001000000
321220121022210110000
42312230001121000
522234114241334
61224045240000
7135645004440
oct26654013100
97817283400
103064993344
111333121956
12716563000
1339acbc23a
142110c4120
1512e131299
hexb6b01640

3064993344 has 140 divisors (see below), whose sum is σ = 10383666304. Its totient is φ = 875702016.

The previous prime is 3064993313. The next prime is 3064993357. The reversal of 3064993344 is 4433994603.

3064993344 is a `hidden beast` number, since 306 + 4 + 9 + 9 + 334 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3064993344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5944 + ... + 78519.

Almost surely, 23064993344 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 3064993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191833152).

3064993344 is an abundant number, since it is smaller than the sum of its proper divisors (7318672960).

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

3064993344 is an equidigital number, since it uses as much as digits as its factorization.

3064993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84494 (or 84475 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3064993344 is about 55362.3820296779. The cubic root of 3064993344 is about 1452.5904299159.

The spelling of 3064993344 in words is "three billion, sixty-four million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 84463 168926 253389 337852 506778 591241 675704 760167 1013556 1182482 1351408 1520334 1773723 2027112 2280501 2364964 2702816 3040668 3547446 4054224 4561002 4729928 5321169 5405632 6081336 6841503 7094892 8108448 9122004 9459856 10642338 12162672 13683006 14189784 15963507 16216896 18244008 18919712 21284676 24325344 27366012 28379568 31927014 36488016 37839424 42569352 47890521 48650688 54732024 56759136 63854028 72976032 85138704 95781042 109464048 113518272 127708056 145952064 170277408 191562084 218928096 255416112 340554816 383124168 437856192 510832224 766248336 1021664448 1532496672 3064993344