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340644330 = 232513359811
BaseRepresentation
bin10100010011011…
…101000111101010
3212201222112011200
4110103131013222
51144201104310
653445105030
711304300105
oct2423350752
9781875150
10340644330
11165315144
12960b8176
135575b9c0
143335373c
151ed8b9c0
hex144dd1ea

340644330 has 96 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 83514240.

The previous prime is 340644307. The next prime is 340644371. The reversal of 340644330 is 33446043.

It is a super-2 number, since 2×3406443302 = 232077119122297800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340644294 and 340644303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419625 + ... + 420435.

It is an arithmetic number, because the mean of its divisors is an integer number (9975420).

Almost surely, 2340644330 is an apocalyptic number.

340644330 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 340644330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

340644330 is an abundant number, since it is smaller than the sum of its proper divisors (616995990).

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

340644330 is a wasteful number, since it uses less digits than its factorization.

340644330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 340644330 is about 18456.5524949813. The cubic root of 340644330 is about 698.3938207749.

The spelling of 340644330 in words is "three hundred forty million, six hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 359 390 585 718 811 1077 1170 1622 1795 2154 2433 3231 3590 4055 4667 4866 5385 6462 7299 8110 9334 10543 10770 12165 14001 14598 16155 21086 23335 24330 28002 31629 32310 36495 42003 46670 52715 63258 70005 72990 84006 94887 105430 140010 158145 189774 210015 291149 316290 420030 474435 582298 873447 948870 1455745 1746894 2620341 2911490 3784937 4367235 5240682 7569874 8734470 11354811 13101705 18924685 22709622 26203410 34064433 37849370 56774055 68128866 113548110 170322165 340644330