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3084828216 = 2335914711481
BaseRepresentation
bin1011011111011110…
…1011111000111000
321221222122111202220
42313313223320320
522304204000331
61230034324040
7136305415161
oct26767537070
97858574686
103084828216
11134333a108
12721129620
133a2145452
142139a8768
15130c4d296
hexb7debe38

3084828216 has 64 divisors (see below), whose sum is σ = 7853414400. Its totient is φ = 1009478400.

The previous prime is 3084828193. The next prime is 3084828283. The reversal of 3084828216 is 6128284803.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082196 + ... + 2083676.

It is an arithmetic number, because the mean of its divisors is an integer number (122709600).

Almost surely, 23084828216 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 3084828216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926707200).

3084828216 is an abundant number, since it is smaller than the sum of its proper divisors (4768586184).

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

3084828216 is a wasteful number, since it uses less digits than its factorization.

3084828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 3084828216 is about 55541.2298747516. The cubic root of 3084828216 is about 1455.7171377712.

The spelling of 3084828216 in words is "three billion, eighty-four million, eight hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 1471 1481 2942 2962 4413 4443 5884 5924 8826 8886 11768 11848 17652 17772 35304 35544 86789 87379 173578 174758 260367 262137 347156 349516 520734 524274 694312 699032 1041468 1048548 2082936 2097096 2178551 4357102 6535653 8714204 13071306 17428408 26142612 52285224 128534509 257069018 385603527 514138036 771207054 1028276072 1542414108 3084828216