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354472581376 = 2812722932
BaseRepresentation
bin1010010100010000011…
…01100101100100000000
31020212221210200212121001
411022020031211210000
521301424440101001
6430501545341344
734416106141054
oct5121015454400
91225853625531
10354472581376
111273705929a1
1258848197854
1327571395094
1413229881c64
159349a28001
hex5288365900

354472581376 has 81 divisors (see below), whose sum is σ = 715618069761. Its totient is φ = 175240590336.

The previous prime is 354472581343. The next prime is 354472581391. The reversal of 354472581376 is 673185274453.

The square root of 354472581376 is 595376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 335379974400 + 19092606976 = 579120^2 + 138176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1209803886 + ... + 1209804178.

Almost surely, 2354472581376 is an apocalyptic number.

354472581376 is the 595376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354472581376

354472581376 is an abundant number, since it is smaller than the sum of its proper divisors (361145488385).

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

354472581376 is an frugal number, since it uses more digits than its factorization.

354472581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 422 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 354472581376 in words is "three hundred fifty-four billion, four hundred seventy-two million, five hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 293 508 586 1016 1172 2032 2344 4064 4688 8128 9376 16129 16256 18752 32258 32512 37211 37504 64516 74422 75008 85849 129032 148844 171698 258064 297688 343396 516128 595376 686792 1032256 1190752 1373584 2064512 2381504 2747168 4129024 4725797 4763008 5494336 9451594 9526016 10902823 10988672 18903188 21805646 21977344 37806376 43611292 75612752 87222584 151225504 174445168 302451008 348890336 604902016 697780672 1209804032 1384658521 1395561344 2769317042 2791122688 5538634084 11077268168 22154536336 44309072672 88618145344 177236290688 354472581376