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343025923568 = 24172677271523
BaseRepresentation
bin1001111110111011111…
…00000011010111110000
31012210102001210102000212
410333131330003113300
521110004114023233
6421330044003252
733532334145626
oct4773574032760
91183361712025
10343025923568
11122527211519
1256592830528
1326468a71093
1412861543516
158dc9b5aa48
hex4fddf035f0

343025923568 has 120 divisors (see below), whose sum is σ = 718001461632. Its totient is φ = 158691658752.

The previous prime is 343025923553. The next prime is 343025923607. The reversal of 343025923568 is 865329520343.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 225229655 + ... + 225231177.

Almost surely, 2343025923568 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 343025923568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359000730816).

343025923568 is an abundant number, since it is smaller than the sum of its proper divisors (374975538064).

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

343025923568 is a wasteful number, since it uses less digits than its factorization.

343025923568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 343025923568 in words is "three hundred forty-three billion, twenty-five million, nine hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 289 536 578 727 1072 1139 1156 1454 1523 2278 2312 2908 3046 4556 4624 5816 6092 9112 11632 12184 12359 18224 19363 24368 24718 25891 38726 48709 49436 51782 77452 97418 98872 102041 103564 154904 194836 197744 204082 207128 210103 309808 389672 408164 414256 420206 440147 779344 816328 828053 840412 880294 1107221 1632656 1656106 1680824 1734697 1760588 2214442 3312212 3361648 3469394 3521176 4428884 6624424 6938788 7042352 8857768 13248848 13877576 14076901 17715536 18822757 27755152 28153802 29489849 37645514 56307604 58979698 74183807 75291028 112615208 117959396 148367614 150582056 225230416 235918792 296735228 301164112 319986869 471837584 593470456 639973738 1186940912 1261124719 1279947476 2522249438 2559894952 5044498876 5119789904 10088997752 20177995504 21439120223 42878240446 85756480892 171512961784 343025923568