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394343809024 = 2161122232
BaseRepresentation
bin1011011110100001011…
…10010000000000000000
31101200212111110002122011
411233100232100000000
522430104003342044
6501054204222304
740330131033214
oct5572056200000
91350774402564
10394343809024
11142270888400
1264514b3a994
132b25686b889
141512cccc944
15a3d0075134
hex5bd0b90000

394343809024 has 153 divisors (see below), whose sum is σ = 870802825179. Its totient is φ = 178443386880.

The previous prime is 394343808967. The next prime is 394343809103. The reversal of 394343809024 is 420908343493.

The square root of 394343809024 is 627968.

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

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, 1768357777 + ... + 1768357999.

Almost surely, 2394343809024 is an apocalyptic number.

394343809024 is the 627968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394343809024

394343809024 is an abundant number, since it is smaller than the sum of its proper divisors (476459016155).

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

394343809024 is an frugal number, since it uses more digits than its factorization.

394343809024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 394343809024 by its sum of digits (49), we get a square (19322846642176 = 43957762).

The spelling of 394343809024 in words is "three hundred ninety-four billion, three hundred forty-three million, eight hundred nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 223 242 256 352 446 484 512 704 892 968 1024 1408 1784 1936 2048 2453 2816 3568 3872 4096 4906 5632 7136 7744 8192 9812 11264 14272 15488 16384 19624 22528 26983 28544 30976 32768 39248 45056 49729 53966 57088 61952 65536 78496 90112 99458 107932 114176 123904 156992 180224 198916 215864 228352 247808 313984 360448 397832 431728 456704 495616 547019 627968 720896 795664 863456 913408 991232 1094038 1255936 1591328 1726912 1826816 1982464 2188076 2511872 3182656 3453824 3653632 3964928 4376152 5023744 6017209 6365312 6907648 7307264 7929856 8752304 10047488 12034418 12730624 13815296 14614528 17504608 20094976 24068836 25461248 27630592 35009216 40189952 48137672 50922496 55261184 70018432 80379904 96275344 101844992 110522368 140036864 160759808 192550688 203689984 221044736 280073728 385101376 407379968 442089472 560147456 770202752 814759936 884178944 1120294912 1540405504 1629519872 1768357888 2240589824 3080811008 3259039744 4481179648 6161622016 8962359296 12323244032 17924718592 24646488064 35849437184 49292976128 98585952256 197171904512 394343809024