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344522103440 = 24531472955749
BaseRepresentation
bin1010000001101110001…
…11100001101010010000
31012221021100010012222012
411000313013201222100
521121040124302230
6422134332202052
733614402363234
oct5006707415220
91187240105865
10344522103440
11123124822609
125692b909328
1326646a26608
14129641305c4
158e6619d395
hex50371e1a90

344522103440 has 80 divisors (see below), whose sum is σ = 844445952000. Its totient is φ = 130525831680.

The previous prime is 344522103439. The next prime is 344522103461. The reversal of 344522103440 is 44301225443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344522103397 and 344522103406.

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, 1361315 + ... + 1594434.

It is an arithmetic number, because the mean of its divisors is an integer number (10555574400).

Almost surely, 2344522103440 is an apocalyptic number.

It is an amenable number.

344522103440 is an abundant number, since it is smaller than the sum of its proper divisors (499923848560).

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

344522103440 is a wasteful number, since it uses less digits than its factorization.

344522103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955840 (or 2955834 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 344522103440 its reverse (44301225443), we get a palindrome (388823328883).

The spelling of 344522103440 in words is "three hundred forty-four billion, five hundred twenty-two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 124 155 188 235 248 310 376 470 496 620 752 940 1240 1457 1880 2480 2914 3760 5828 7285 11656 14570 23312 29140 58280 116560 2955749 5911498 11822996 14778745 23645992 29557490 47291984 59114980 91628219 118229960 138920203 183256438 236459920 277840406 366512876 458141095 555680812 694601015 733025752 916282190 1111361624 1389202030 1466051504 1832564380 2222723248 2778404060 3665128760 4306526293 5556808120 7330257520 8613052586 11113616240 17226105172 21532631465 34452210344 43065262930 68904420688 86130525860 172261051720 344522103440