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10344240 = 243354789
BaseRepresentation
bin100111011101…
…011100110000
3201110112122000
4213131130300
510122003430
61005414000
7153632064
oct47353460
921415560
1010344240
115925865
12356a300
1321b246a
141533aa4
15d94e60
hex9dd730

10344240 has 80 divisors (see below), whose sum is σ = 35637600. Its totient is φ = 2757888.

The previous prime is 10344239. The next prime is 10344281. The reversal of 10344240 is 4244301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (445470).

Almost surely, 210344240 is an apocalyptic number.

10344240 is a gapful number since it is divisible by the number (10) 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 10344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818800).

10344240 is an abundant number, since it is smaller than the sum of its proper divisors (25293360).

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

10344240 is a wasteful number, since it uses less digits than its factorization.

10344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10344240 is about 3216.2462592283. The cubic root of 10344240 is about 217.8877743494.

Adding to 10344240 its reverse (4244301), we get a palindrome (14588541).

The spelling of 10344240 in words is "ten million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4789 9578 14367 19156 23945 28734 38312 43101 47890 57468 71835 76624 86202 95780 114936 129303 143670 172404 191560 215505 229872 258606 287340 344808 383120 431010 517212 574680 646515 689616 862020 1034424 1149360 1293030 1724040 2068848 2586060 3448080 5172120 10344240