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2300328408 = 233717379147
BaseRepresentation
bin1000100100011100…
…0011100111011000
312221022110210100110
42021013003213120
514202341002113
61020132004320
7111001316550
oct21107034730
95838423313
102300328408
11a80525864
125424606a0
132a875b791
1417b716160
15d6e38bc3
hex891c39d8

2300328408 has 64 divisors (see below), whose sum is σ = 6610440960. Its totient is φ = 653429376.

The previous prime is 2300328389. The next prime is 2300328431. The reversal of 2300328408 is 8048230032.

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, 10510 + ... + 68637.

It is an arithmetic number, because the mean of its divisors is an integer number (103288140).

Almost surely, 22300328408 is an apocalyptic number.

2300328408 is a gapful number since it is divisible by the number (28) 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 2300328408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305220480).

2300328408 is an abundant number, since it is smaller than the sum of its proper divisors (4310112552).

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

2300328408 is a wasteful number, since it uses less digits than its factorization.

2300328408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79336 (or 79332 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2300328408 is about 47961.7390009995. The cubic root of 2300328408 is about 1320.0689449755.

The spelling of 2300328408 in words is "two billion, three hundred million, three hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 7266 9688 14532 29064 79147 158294 237441 316588 474882 554029 633176 949764 1108058 1662087 1899528 2216116 3324174 4432232 6648348 13296696 13692431 27384862 41077293 54769724 82154586 95847017 109539448 164309172 191694034 287541051 328618344 383388068 575082102 766776136 1150164204 2300328408