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343424430 = 232519229877
BaseRepresentation
bin10100011110000…
…011110110101110
3212221012202202100
4110132003312232
51200404040210
654024435530
711340026256
oct2436036656
9787182670
10343424430
11166943948
1297018ba6
13561c322b
1433878966
152023a5c0
hex14783dae

343424430 has 96 divisors (see below), whose sum is σ = 945079200. Its totient is φ = 86282496.

The previous prime is 343424423. The next prime is 343424443. The reversal of 343424430 is 34424343.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 343424394 and 343424403.

It is a congruent number.

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, 391152 + ... + 392028.

It is an arithmetic number, because the mean of its divisors is an integer number (9844575).

Almost surely, 2343424430 is an apocalyptic number.

343424430 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 343424430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472539600).

343424430 is an abundant number, since it is smaller than the sum of its proper divisors (601654770).

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

343424430 is a wasteful number, since it uses less digits than its factorization.

343424430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 343424430 is about 18531.7141678799. The cubic root of 343424430 is about 700.2886088818.

Adding to 343424430 its reverse (34424343), we get a palindrome (377848773).

The spelling of 343424430 in words is "three hundred forty-three million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 229 285 342 458 570 687 855 877 1145 1374 1710 1754 2061 2290 2631 3435 4122 4351 4385 5262 6870 7893 8702 8770 10305 13053 13155 15786 16663 20610 21755 26106 26310 33326 39159 39465 43510 49989 65265 78318 78930 83315 99978 130530 149967 166630 195795 200833 249945 299934 391590 401666 499890 602499 749835 1004165 1204998 1499670 1807497 2008330 3012495 3614994 3815827 6024990 7631654 9037485 11447481 18074970 19079135 22894962 34342443 38158270 57237405 68684886 114474810 171712215 343424430