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3340824368 = 247318311593
BaseRepresentation
bin1100011100100000…
…1110111100110000
322121211100110110212
43013020032330300
523320222334433
61311301243252
7145534352510
oct30710167460
98554313425
103340824368
111464898882
12792a03528
134131a716b
142399a5840
15148468d48
hexc720ef30

3340824368 has 80 divisors (see below), whose sum is σ = 7728838656. Its totient is φ = 1368783360.

The previous prime is 3340824367. The next prime is 3340824373. The reversal of 3340824368 is 8634280433.

It is a super-2 number, since 2×33408243682 = 22322214915645198848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340824367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282380 + ... + 293972.

Almost surely, 23340824368 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 3340824368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864419328).

3340824368 is an abundant number, since it is smaller than the sum of its proper divisors (4388014288).

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

3340824368 is a wasteful number, since it uses less digits than its factorization.

3340824368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 3340824368 is about 57799.8647749283. The cubic root of 3340824368 is about 1494.9197569187.

The spelling of 3340824368 in words is "three billion, three hundred forty million, eight hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 166 217 248 332 434 496 581 664 868 1162 1328 1736 2324 2573 3472 4648 5146 9296 10292 11593 18011 20584 23186 36022 41168 46372 72044 81151 92744 144088 162302 185488 288176 324604 359383 649208 718766 962219 1298416 1437532 1924438 2515681 2875064 3848876 5031362 5750128 6735533 7697752 10062724 13471066 15395504 20125448 26942132 29828789 40250896 53884264 59657578 107768528 119315156 208801523 238630312 417603046 477260624 835206092 1670412184 3340824368