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434214320424 = 233587124924677
BaseRepresentation
bin1100101000110010011…
…00001011100100101000
31112111210010211221011120
412110121030023210220
524103232331223144
6531250355455240
743241143553223
oct6243114134450
91474703757146
10434214320424
11158170733775
12701a15b7520
1331c3bb54361
14170321d05ba
15b4654cee19
hex651930b928

434214320424 has 64 divisors (see below), whose sum is σ = 1088299800000. Its totient is φ = 144369997824.

The previous prime is 434214320413. The next prime is 434214320443. The reversal of 434214320424 is 424023412434.

It is a super-2 number, since 2×4342143204242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17583574 + ... + 17608250.

It is an arithmetic number, because the mean of its divisors is an integer number (17004684375).

Almost surely, 2434214320424 is an apocalyptic number.

It is an amenable number.

434214320424 is an abundant number, since it is smaller than the sum of its proper divisors (654085479576).

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

434214320424 is a wasteful number, since it uses less digits than its factorization.

434214320424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26522 (or 26518 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 434214320424 its reverse (424023412434), we get a palindrome (858237732858).

The spelling of 434214320424 in words is "four hundred thirty-four billion, two hundred fourteen million, three hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 587 1174 1249 1761 2348 2498 3522 3747 4696 4996 7044 7494 9992 14088 14988 24677 29976 49354 74031 98708 148062 197416 296124 592248 733163 1466326 2199489 2932652 4398978 5865304 8797956 14485399 17595912 28970798 30821573 43456197 57941596 61643146 86912394 92464719 115883192 123286292 173824788 184929438 246572584 347649576 369858876 739717752 18092263351 36184526702 54276790053 72369053404 108553580106 144738106808 217107160212 434214320424