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2083320384 = 26314972823
BaseRepresentation
bin111110000101100…
…1111001001000000
312101012010122022020
41330023033021000
513231312223014
6542420441440
7102424634235
oct17413171100
95335118266
102083320384
11979a86492
124a1849280
132727cab72
1415a98778c
15c2d701a9
hex7c2cf240

2083320384 has 56 divisors (see below), whose sum is σ = 5549188800. Its totient is φ = 689769984.

The previous prime is 2083320377. The next prime is 2083320419. The reversal of 2083320384 is 4830233802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7804 + ... + 65019.

Almost surely, 22083320384 is an apocalyptic number.

2083320384 is a gapful number since it is divisible by the number (24) 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 2083320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774594400).

2083320384 is an abundant number, since it is smaller than the sum of its proper divisors (3465868416).

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

2083320384 is a wasteful number, since it uses less digits than its factorization.

2083320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72987 (or 72977 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2083320384 is about 45643.4046057040. The cubic root of 2083320384 is about 1277.1797411314.

The spelling of 2083320384 in words is "two billion, eighty-three million, three hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 7152 9536 14304 28608 72823 145646 218469 291292 436938 582584 873876 1165168 1747752 2330336 3495504 4660672 6991008 10850627 13982016 21701254 32551881 43402508 65103762 86805016 130207524 173610032 260415048 347220064 520830096 694440128 1041660192 2083320384