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340000122 = 23731123653
BaseRepresentation
bin10100010000111…
…111110101111010
3212200202210111010
4110100333311322
51144020000442
653423214350
711265645000
oct2420776572
9780683433
10340000122
11164a15140
1295a473b6
1355594707
1433226a70
151ecb0b9c
hex1443fd7a

340000122 has 128 divisors (see below), whose sum is σ = 904089600. Its totient is φ = 84342720.

The previous prime is 340000081. The next prime is 340000127. The reversal of 340000122 is 221000043.

340000122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340000098 and 340000107.

It is not an unprimeable number, because it can be changed into a prime (340000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520348 + ... + 521000.

It is an arithmetic number, because the mean of its divisors is an integer number (7063200).

Almost surely, 2340000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452044800).

340000122 is an abundant number, since it is smaller than the sum of its proper divisors (564089478).

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

340000122 is a wasteful number, since it uses less digits than its factorization.

340000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 340000122 is about 18439.0922227750. The cubic root of 340000122 is about 697.9532881716.

Adding to 340000122 its reverse (221000043), we get a palindrome (561000165).

The spelling of 340000122 in words is "three hundred forty million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 343 462 483 506 539 653 686 759 966 1029 1078 1127 1306 1518 1617 1771 1959 2058 2254 3234 3381 3542 3773 3918 4571 5313 6762 7183 7546 7889 9142 10626 11319 12397 13713 14366 15019 15778 21549 22638 23667 24794 27426 30038 31997 37191 43098 45057 47334 50281 63994 74382 86779 90114 95991 100562 105133 150843 165209 173558 191982 210266 223979 260337 301686 315399 330418 351967 447958 495627 520674 630798 671937 703934 735931 991254 1055901 1156463 1343874 1471862 2111802 2207793 2312926 2463769 3469389 4415586 4927538 5151517 6938778 7391307 8095241 10303034 14782614 15454551 16190482 24285723 30909102 48571446 56666687 113333374 170000061 340000122