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343041241424 = 2477354717669
BaseRepresentation
bin1001111110111101101…
…10011111000101010000
31012210110010121122011212
410333132312133011100
521110022024211144
6421331352155252
733532611304250
oct4773666370520
91183403548155
10343041241424
11122534924002
1256597998b28
132646bca52bb
14128635ad960
158dcb18449e
hex4fded9f150

343041241424 has 80 divisors (see below), whose sum is σ = 770237844480. Its totient is φ = 144958325760.

The previous prime is 343041241421. The next prime is 343041241471. The reversal of 343041241424 is 424142140343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343041241421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44727062 + ... + 44734730.

It is an arithmetic number, because the mean of its divisors is an integer number (9627973056).

Almost surely, 2343041241424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343041241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385118922240).

343041241424 is an abundant number, since it is smaller than the sum of its proper divisors (427196603056).

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

343041241424 is a wasteful number, since it uses less digits than its factorization.

343041241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 343041241424 its reverse (424142140343), we get a palindrome (767183381767).

The spelling of 343041241424 in words is "three hundred forty-three billion, forty-one million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 5471 7669 8176 10942 15338 21884 30676 38297 43768 53683 61352 76594 87536 107366 122704 153188 214732 306376 399383 429464 559837 612752 798766 858928 1119674 1597532 2239348 2795681 3195064 3918859 4478696 5591362 6390128 7837718 8957392 11182724 15675436 22365448 31350872 41957099 44730896 62701744 83914198 167828396 293699693 335656792 587399386 671313584 1174798772 2349597544 3062868227 4699195088 6125736454 12251472908 21440077589 24502945816 42880155178 49005891632 85760310356 171520620712 343041241424