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1684281344 = 2116411283
BaseRepresentation
bin110010001100100…
…0001100000000000
311100101021100122112
41210121001200000
511422134000334
6435043554452
756511104144
oct14431014000
94311240575
101684281344
11794807559
123b008ba28
1320ac34aa5
1411d993224
159cceb4ce
hex64641800

1684281344 has 48 divisors (see below), whose sum is σ = 3375623160. Its totient is φ = 840171520.

The previous prime is 1684281337. The next prime is 1684281349. The reversal of 1684281344 is 4431824861.

It is a super-3 number, since 3×16842813443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684281349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312127 + ... + 1313409.

Almost surely, 21684281344 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 1684281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687811580).

1684281344 is an abundant number, since it is smaller than the sum of its proper divisors (1691341816).

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

1684281344 is an equidigital number, since it uses as much as digits as its factorization.

1684281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1926 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 1684281344 is about 41039.9968810915. The cubic root of 1684281344 is about 1189.7933741945.

The spelling of 1684281344 in words is "one billion, six hundred eighty-four million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 641 1024 1282 1283 2048 2564 2566 5128 5132 10256 10264 20512 20528 41024 41056 82048 82112 164096 164224 328192 328448 656384 656896 822403 1312768 1313792 1644806 2627584 3289612 6579224 13158448 26316896 52633792 105267584 210535168 421070336 842140672 1684281344