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3822996384 = 253219312727
BaseRepresentation
bin1110001111011110…
…0100101110100000
3100212102122100010200
43203313210232200
530312141341014
61431204025200
7163510635024
oct34367445640
910772570120
103822996384
111691a88849
128a8392200
1348c05964c
14283a3a384
1517595ea09
hexe3de4ba0

3822996384 has 216 divisors, whose sum is σ = 11841167520. Its totient is φ = 1166711040.

The previous prime is 3822996377. The next prime is 3822996389. The reversal of 3822996384 is 4836992283.

It is a happy number.

3822996384 is a `hidden beast` number, since 38 + 229 + 9 + 6 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3822996384.

It is not an unprimeable number, because it can be changed into a prime (3822996389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5258229 + ... + 5258955.

It is an arithmetic number, because the mean of its divisors is an integer number (54820220).

Almost surely, 23822996384 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 3822996384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920583760).

3822996384 is an abundant number, since it is smaller than the sum of its proper divisors (8018171136).

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

3822996384 is a wasteful number, since it uses less digits than its factorization.

3822996384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 782 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3822996384 is about 61830.3839871628. The cubic root of 3822996384 is about 1563.6322855721.

The spelling of 3822996384 in words is "three billion, eight hundred twenty-two million, nine hundred ninety-six thousand, three hundred eighty-four".