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348028283376 = 24325940963781
BaseRepresentation
bin1010001000010000001…
…10100010100111110000
31020021022200121121122100
411010020012202213300
521200230220032001
6423514301540400
734100315412204
oct5041006424760
91207280547570
10348028283376
11124663990484
1257549b74700
1326a85247ab7
1412bb7a5ab04
1590bddcb586
hex51081a29f0

348028283376 has 60 divisors (see below), whose sum is σ = 990504248760. Its totient is φ = 114043163520.

The previous prime is 348028283357. The next prime is 348028283417. The reversal of 348028283376 is 673382820843.

348028283376 is a `hidden beast` number, since 3 + 480 + 2 + 82 + 83 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×3480282833762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20473395 + ... + 20490386.

It is an arithmetic number, because the mean of its divisors is an integer number (16508404146).

Almost surely, 2348028283376 is an apocalyptic number.

348028283376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348028283376 is an abundant number, since it is smaller than the sum of its proper divisors (642475965384).

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

348028283376 is a wasteful number, since it uses less digits than its factorization.

348028283376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40963854 (or 40963845 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 348028283376 in words is "three hundred forty-eight billion, twenty-eight million, two hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 40963781 81927562 122891343 163855124 245782686 327710248 368674029 491565372 655420496 737348058 983130744 1474696116 1966261488 2416863079 2949392232 4833726158 5898784464 7250589237 9667452316 14501178474 19334904632 21751767711 29002356948 38669809264 43503535422 58004713896 87007070844 116009427792 174014141688 348028283376