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353441424 = 243717431439
BaseRepresentation
bin10101000100010…
…001011010010000
3220122001200111010
4111010101122100
51210440111144
655023250520
711521126320
oct2504213220
9818050433
10353441424
11171565856
129a449a40
13582bc74b
1434d25280
15210685b9
hex15111690

353441424 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 92768256.

The previous prime is 353441419. The next prime is 353441461. The reversal of 353441424 is 424144353.

It is a junction number, because it is equal to n+sod(n) for n = 353441391 and 353441400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244897 + ... + 246335.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2353441424 is an apocalyptic number.

353441424 is a gapful number since it is divisible by the number (34) 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 353441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

353441424 is an abundant number, since it is smaller than the sum of its proper divisors (777914736).

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

353441424 is a wasteful number, since it uses less digits than its factorization.

353441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 353441424 is about 18800.0378723023. The cubic root of 353441424 is about 707.0321289100.

Adding to 353441424 its reverse (424144353), we get a palindrome (777585777).

The spelling of 353441424 in words is "three hundred fifty-three million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 43 48 51 56 68 84 86 102 112 119 129 136 168 172 204 238 258 272 301 336 344 357 408 476 516 602 688 714 731 816 903 952 1032 1204 1428 1439 1462 1806 1904 2064 2193 2408 2856 2878 2924 3612 4317 4386 4816 5117 5712 5756 5848 7224 8634 8772 10073 10234 11512 11696 14448 15351 17268 17544 20146 20468 23024 24463 30219 30702 34536 35088 40292 40936 48926 60438 61404 61877 69072 73389 80584 81872 97852 120876 122808 123754 146778 161168 171241 185631 195704 241752 245616 247508 293556 342482 371262 391408 433139 483504 495016 513723 587112 684964 742524 866278 990032 1027446 1051909 1174224 1299417 1369928 1485048 1732556 2054892 2103818 2598834 2739856 2970096 3155727 3465112 4109784 4207636 5197668 6311454 6930224 7363363 8219568 8415272 10395336 12622908 14726726 16830544 20790672 22090089 25245816 29453452 44180178 50491632 58906904 88360356 117813808 176720712 353441424