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3822042336 = 25372672181
BaseRepresentation
bin1110001111001111…
…1011110011100000
3100212100211212102120
43203303323303200
530311420323321
61431131344240
7163466552400
oct34363736340
910770755376
103822042336
111691496a82
128a7bb2080
1348bab4318
1428386c800
15175821ec6
hexe3cfbce0

3822042336 has 216 divisors, whose sum is σ = 11913128136. Its totient is φ = 1069770240.

The previous prime is 3822042293. The next prime is 3822042353. The reversal of 3822042336 is 6332402283.

It is a junction number, because it is equal to n+sod(n) for n = 3822042297 and 3822042306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21116166 + ... + 21116346.

It is an arithmetic number, because the mean of its divisors is an integer number (55153371).

Almost surely, 23822042336 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 3822042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956564068).

3822042336 is an abundant number, since it is smaller than the sum of its proper divisors (8091085800).

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

3822042336 is a wasteful number, since it uses less digits than its factorization.

3822042336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3822042336 is about 61822.6684639219. The cubic root of 3822042336 is about 1563.5022039802.

The spelling of 3822042336 in words is "three billion, eight hundred twenty-two million, forty-two thousand, three hundred thirty-six".