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340003313234320 = 24561168761412849
BaseRepresentation
bin100110101001110110011000…
…0101101010011000110010000
31122120211222222111022100012211
41031103230300231103012100
5324031103241141444240
63203043211002401504
7131421300026546101
oct11523546055230620
91576758874270184
10340003313234320
11993766604a857a
1232172b05800294
1311794237236658
145dd6368d743a8
1529493ee394bea
hex1353b30b53190

340003313234320 has 80 divisors (see below), whose sum is σ = 803473553084400. Its totient is φ = 133770678681600.

The previous prime is 340003313234293. The next prime is 340003313234393. The reversal of 340003313234320 is 23432313300043.

It can be written as a sum of positive squares in 8 ways, for example, as 13272527349904 + 326730785884416 = 3643148^2 + 18075696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 823347256 + ... + 823760104.

It is an arithmetic number, because the mean of its divisors is an integer number (10043419413555).

Almost surely, 2340003313234320 is an apocalyptic number.

It is an amenable number.

340003313234320 is an abundant number, since it is smaller than the sum of its proper divisors (463470239850080).

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

340003313234320 is a wasteful number, since it uses less digits than its factorization.

340003313234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581684 (or 581678 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 340003313234320 its reverse (23432313300043), we get a palindrome (363435626534363).

The spelling of 340003313234320 in words is "three hundred forty trillion, three billion, three hundred thirteen million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 168761 337522 412849 675044 825698 843805 1350088 1651396 1687610 2064245 2700176 3302792 3375220 4128490 6605584 6750440 8256980 10294421 13500880 16513960 20588842 25183789 33027920 41177684 50367578 51472105 82355368 100735156 102944210 125918945 164710736 201470312 205888420 251837890 402940624 411776840 503675780 823553680 1007351560 2014703120 69672810089 139345620178 278691240356 348364050445 557382480712 696728100890 1114764961424 1393456201780 2786912403560 4250041415429 5573824807120 8500082830858 17000165661716 21250207077145 34000331323432 42500414154290 68000662646864 85000828308580 170001656617160 340003313234320