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348380222993232 = 24314958129837979
BaseRepresentation
bin100111100110110011001011…
…1011100000011001101010000
31200200111211020201220022222120
41033031212113130003031100
5331130330144041240412
63232535355350534240
7133244432456631243
oct11715462734031520
91620454221808876
10348380222993232
11a100624a698231
12330a6507967380
1311c511637a20a1
14620599ad1725a
152a42280a1ab8c
hex13cd997703350

348380222993232 has 80 divisors (see below), whose sum is σ = 906039059640000. Its totient is φ = 115345244915712.

The previous prime is 348380222993227. The next prime is 348380222993251. The reversal of 348380222993232 is 232399222083843.

It is a happy number.

It is a congruent number.

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, 415319619 + ... + 416157597.

It is an arithmetic number, because the mean of its divisors is an integer number (11325488245500).

Almost surely, 2348380222993232 is an apocalyptic number.

It is an amenable number.

348380222993232 is an abundant number, since it is smaller than the sum of its proper divisors (557658836646768).

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

348380222993232 is a wasteful number, since it uses less digits than its factorization.

348380222993232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896268 (or 896262 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 348380222993232 in words is "three hundred forty-eight trillion, three hundred eighty billion, two hundred twenty-two million, nine hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 58129 116258 174387 232516 348774 465032 697548 837979 930064 1395096 1675958 2513937 2790192 3351916 5027874 6703832 8661221 10055748 13407664 17322442 20111496 25983663 34644884 40222992 51967326 69289768 103934652 124858871 138579536 207869304 249717742 374576613 415738608 499435484 749153226 998870968 1498306452 1997741936 2996612904 5993225808 48710881291 97421762582 146132643873 194843525164 292265287746 389687050328 584530575492 779374100656 1169061150984 2338122301968 7257921312359 14515842624718 21773763937077 29031685249436 43547527874154 58063370498872 87095055748308 116126740997744 174190111496616 348380222993232