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9830340 = 22325134201
BaseRepresentation
bin100101011111…
…111111000100
3200111102200200
4211133333010
510004032330
6550410500
7146361612
oct45377704
920442620
109830340
115604753
123360a30
132062590
14143c6b2
15ce2a60
hex95ffc4

9830340 has 72 divisors (see below), whose sum is σ = 32120088. Its totient is φ = 2419200.

The previous prime is 9830329. The next prime is 9830341. The reversal of 9830340 is 430389.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 9622404 = 456^2 + 3102^2 .

It is not an unprimeable number, because it can be changed into a prime (9830341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240 + ... + 4440.

Almost surely, 29830340 is an apocalyptic number.

9830340 is a gapful number since it is divisible by the number (90) 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 9830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060044).

9830340 is an abundant number, since it is smaller than the sum of its proper divisors (22289748).

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

9830340 is a wasteful number, since it uses less digits than its factorization.

9830340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9830340 is about 3135.3373024286. The cubic root of 9830340 is about 214.2181081967.

The spelling of 9830340 in words is "nine million, eight hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4201 8402 12603 16804 21005 25206 37809 42010 50412 54613 63015 75618 84020 109226 126030 151236 163839 189045 218452 252060 273065 327678 378090 491517 546130 655356 756180 819195 983034 1092260 1638390 1966068 2457585 3276780 4915170 9830340