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344241330 = 2351741101163
BaseRepresentation
bin10100100001001…
…011010010110010
3212222202021022220
4110201023102302
51201111210310
654054141510
711350001016
oct2441132262
9788667286
10344241330
11167351674
1297351896
135641acc4
1433a0c546
152034c670
hex1484b4b2

344241330 has 128 divisors (see below), whose sum is σ = 910538496. Its totient is φ = 82944000.

The previous prime is 344241323. The next prime is 344241349. The reversal of 344241330 is 33142443.

It is a self number, because there is not a number n which added to its sum of digits gives 344241330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111829 + ... + 2111991.

It is an arithmetic number, because the mean of its divisors is an integer number (7113582).

Almost surely, 2344241330 is an apocalyptic number.

344241330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455269248).

344241330 is an abundant number, since it is smaller than the sum of its proper divisors (566297166).

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

344241330 is a wasteful number, since it uses less digits than its factorization.

344241330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 344241330 is about 18553.7416711563. The cubic root of 344241330 is about 700.8434255307.

Adding to 344241330 its reverse (33142443), we get a palindrome (377383773).

It can be divided in two parts, 3442413 and 30, that added together give a palindrome (3442443).

The spelling of 344241330 in words is "three hundred forty-four million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 101 102 123 163 170 202 205 246 255 303 326 410 489 505 510 606 615 697 815 978 1010 1230 1394 1515 1630 1717 2091 2445 2771 3030 3434 3485 4141 4182 4890 5151 5542 6683 6970 8282 8313 8585 10302 10455 12423 13366 13855 16463 16626 17170 20049 20705 20910 24846 25755 27710 32926 33415 40098 41410 41565 49389 51510 62115 66830 70397 82315 83130 98778 100245 113611 124230 140794 164630 200490 211191 227222 246945 279871 340833 351985 422382 493890 559742 568055 674983 681666 703970 839613 1055955 1136110 1349966 1399355 1679226 1704165 2024949 2111910 2798710 3374915 3408330 4049898 4198065 6749830 8396130 10124745 11474711 20249490 22949422 34424133 57373555 68848266 114747110 172120665 344241330