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340488240 = 24351724909
BaseRepresentation
bin10100010010110…
…111000000110000
3212201200121001120
4110102313000300
51144131110430
653441502240
711303050041
oct2422670060
9781617046
10340488240
11165218944
1296041980
1355705941
14333128c8
151ed5a610
hex144b7030

340488240 has 120 divisors (see below), whose sum is σ = 1121483280. Its totient is φ = 85438464.

The previous prime is 340488209. The next prime is 340488263. The reversal of 340488240 is 42884043.

340488240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66906 + ... + 71814.

It is an arithmetic number, because the mean of its divisors is an integer number (9345694).

Almost surely, 2340488240 is an apocalyptic number.

340488240 is a gapful number since it is divisible by the number (30) 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 340488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560741640).

340488240 is an abundant number, since it is smaller than the sum of its proper divisors (780995040).

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

340488240 is a wasteful number, since it uses less digits than its factorization.

340488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 340488240 is about 18452.3234309395. The cubic root of 340488240 is about 698.2871318360.

The spelling of 340488240 in words is "three hundred forty million, four hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1734 2040 2312 2890 3468 4080 4335 4624 4909 5780 6936 8670 9818 11560 13872 14727 17340 19636 23120 24545 29454 34680 39272 49090 58908 69360 73635 78544 83453 98180 117816 147270 166906 196360 235632 250359 294540 333812 392720 417265 500718 589080 667624 834530 1001436 1178160 1251795 1335248 1418701 1669060 2002872 2503590 2837402 3338120 4005744 4256103 5007180 5674804 6676240 7093505 8512206 10014360 11349608 14187010 17024412 20028720 21280515 22699216 28374020 34048824 42561030 56748040 68097648 85122060 113496080 170244120 340488240