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354443446056 = 23376173473789
BaseRepresentation
bin1010010100001100111…
…10011100011100101000
31020212212202212122110010
411022012132130130220
521301400010233211
6430455025051520
734415303403330
oct5120636343450
91225782778403
10354443446056
111273560a3117
125883a486ba0
132756833384b
1413225a5a0c0
1593471c04a6
hex528679c728

354443446056 has 128 divisors (see below), whose sum is σ = 1043399289600. Its totient is φ = 98244679680.

The previous prime is 354443446039. The next prime is 354443446057. The reversal of 354443446056 is 650644344453.

It is a junction number, because it is equal to n+sod(n) for n = 354443445996 and 354443446014.

It is not an unprimeable number, because it can be changed into a prime (354443446057) 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, 511210 + ... + 984998.

It is an arithmetic number, because the mean of its divisors is an integer number (8151556950).

Almost surely, 2354443446056 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 354443446056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521699644800).

354443446056 is an abundant number, since it is smaller than the sum of its proper divisors (688955843544).

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

354443446056 is a wasteful number, since it uses less digits than its factorization.

354443446056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473939 (or 473935 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 354443446056 in words is "three hundred fifty-four billion, four hundred forty-three million, four hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 73 84 122 146 168 183 219 244 292 366 427 438 488 511 584 732 854 876 1022 1281 1464 1533 1708 1752 2044 2562 3066 3416 4088 4453 5124 6132 8906 10248 12264 13359 17812 26718 31171 35624 53436 62342 93513 106872 124684 187026 249368 374052 473789 748104 947578 1421367 1895156 2842734 3316523 3790312 5685468 6633046 9949569 11370936 13266092 19899138 26532184 28901129 34586597 39798276 57802258 69173194 79596552 86703387 103759791 115604516 138346388 173406774 202307903 207519582 231209032 242106179 276692776 346813548 404615806 415039164 484212358 606923709 693627096 726318537 809231612 830078328 968424716 1213847418 1452637074 1618463224 1936849432 2109782417 2427694836 2905274148 4219564834 4855389672 5810548296 6329347251 8439129668 12658694502 14768476919 16878259336 25317389004 29536953838 44305430757 50634778008 59073907676 88610861514 118147815352 177221723028 354443446056