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343441413224 = 237131752335303
BaseRepresentation
bin1001111111101101011…
…01000001010001101000
31012211111000121110200122
410333312231001101220
521111332000210344
6421435205222412
733545540563010
oct4776655012150
91184430543618
10343441413224
1112271a7a6aa8
1256689a01a08
1326503b76b50
14128a07bac40
158e0137daee
hex4ff6b41468

343441413224 has 128 divisors (see below), whose sum is σ = 839496752640. Its totient is φ = 127826214912.

The previous prime is 343441413223. The next prime is 343441413229. The reversal of 343441413224 is 422314144343.

It is not an unprimeable number, because it can be changed into a prime (343441413221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64760957 + ... + 64766259.

It is an arithmetic number, because the mean of its divisors is an integer number (6558568380).

Almost surely, 2343441413224 is an apocalyptic number.

343441413224 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 343441413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419748376320).

343441413224 is an abundant number, since it is smaller than the sum of its proper divisors (496055339416).

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

343441413224 is a wasteful number, since it uses less digits than its factorization.

343441413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10575 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 343441413224 its reverse (422314144343), we get a palindrome (765755557567).

The spelling of 343441413224 in words is "three hundred forty-three billion, four hundred forty-one million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 5233 5303 6188 10466 10606 12376 20932 21212 36631 37121 41864 42424 68029 68939 73262 74242 88961 90151 136058 137878 146524 148484 177922 180302 272116 275756 293048 296968 355844 360604 476203 482573 544232 551512 622727 631057 711688 721208 952406 965146 1156493 1171963 1245454 1262114 1904812 1930292 2312986 2343926 2490908 2524228 3809624 3860584 4625972 4687852 4981816 5048456 8095451 8203741 9251944 9375704 16190902 16407482 27750599 32381804 32814964 55501198 64763608 65629928 111002396 194254193 222004792 360757787 388508386 471760183 721515574 777016772 943520366 1443031148 1554033544 1887040732 2525304509 2886062296 3302321281 3774081464 5050609018 6132882379 6604642562 10101218036 12265764758 13209285124 20202436072 24531529516 26418570248 42930176653 49063059032 85860353306 171720706612 343441413224