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354844385406 = 232734770911447
BaseRepresentation
bin1010010100111100101…
…11111010000001111110
31020220220201022110211200
411022132113322001332
521303210130313111
6431002510400330
734431242336610
oct5123627720176
91226821273750
10354844385406
1112754144a855
12589308000a6
1327600413874
1413262dc6db0
15936c4bc256
hex529e5fa07e

354844385406 has 96 divisors (see below), whose sum is σ = 882514414080. Its totient is φ = 100940534208.

The previous prime is 354844385249. The next prime is 354844385407. The reversal of 354844385406 is 604583448453.

354844385406 is a `hidden beast` number, since 3 + 5 + 484 + 43 + 85 + 40 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354844385407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30993175 + ... + 31004621.

It is an arithmetic number, because the mean of its divisors is an integer number (9192858480).

Almost surely, 2354844385406 is an apocalyptic number.

354844385406 is an abundant number, since it is smaller than the sum of its proper divisors (527670028674).

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

354844385406 is a wasteful number, since it uses less digits than its factorization.

354844385406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 354844385406 in words is "three hundred fifty-four billion, eight hundred forty-four million, three hundred eighty-five thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 347 694 709 1041 1418 2082 2127 2429 3123 4254 4858 4963 6246 6381 7287 9926 11447 12762 14574 14889 21861 22894 29778 34341 43722 44667 68682 80129 89334 103023 160258 206046 240387 246023 480774 492046 721161 738069 1442322 1476138 1722161 2214207 3444322 3972109 4428414 5166483 7944218 8115923 10332966 11916327 15499449 16231846 23832654 24347769 27804763 30998898 35748981 48695538 55609526 56811461 71497962 73043307 83414289 113622922 146086614 166828578 170434383 250242867 340868766 500485734 511303149 1022606298 2816225281 5632450562 8448675843 16897351686 19713576967 25346027529 39427153934 50692055058 59140730901 118281461802 177422192703 354844385406