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200349384 = 23343832339
BaseRepresentation
bin10111111000100…
…01011011001000
3111221222210200120
423330101123020
5402242140014
631514103240
74651640664
oct1374213310
9457883616
10200349384
11a3101504
125711ab20
133267a341
141c8738a4
15128c7ba9
hexbf116c8

200349384 has 64 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 64416576.

The previous prime is 200349379. The next prime is 200349407. The reversal of 200349384 is 483943002.

200349384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 84487 + ... + 86825.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2200349384 is an apocalyptic number.

200349384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200349384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

200349384 is an abundant number, since it is smaller than the sum of its proper divisors (318569016).

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

200349384 is a wasteful number, since it uses less digits than its factorization.

200349384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 200349384 is about 14154.4828234733. The cubic root of 200349384 is about 585.1438845435.

The spelling of 200349384 in words is "two hundred million, three hundred forty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 996 1032 1992 2339 3569 4678 7017 7138 9356 10707 14034 14276 18712 21414 28068 28552 42828 56136 85656 100577 194137 201154 301731 388274 402308 582411 603462 776548 804616 1164822 1206924 1553096 2329644 2413848 4659288 8347891 16695782 25043673 33391564 50087346 66783128 100174692 200349384