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323430404224 = 2723307449797
BaseRepresentation
bin1001011010011011111…
…01000101000010000000
31010220211102100212221011
410231031331011002000
520244341140413344
6404325404010304
732236623034624
oct4551575050200
91126742325834
10323430404224
11115191038834
1252824230994
1324665116315
1411922c6b184
15862e68ad34
hex4b4df45080

323430404224 has 128 divisors (see below), whose sum is σ = 676889136000. Its totient is φ = 153643843584.

The previous prime is 323430404203. The next prime is 323430404263. The reversal of 323430404224 is 422404034323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405809394 + ... + 405810190.

It is an arithmetic number, because the mean of its divisors is an integer number (5288196375).

Almost surely, 2323430404224 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 323430404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338444568000).

323430404224 is an abundant number, since it is smaller than the sum of its proper divisors (353458731776).

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

323430404224 is a wasteful number, since it uses less digits than its factorization.

323430404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 323430404224 its reverse (422404034323), we get a palindrome (745834438547).

The spelling of 323430404224 in words is "three hundred twenty-three billion, four hundred thirty million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 307 368 449 614 736 797 898 1228 1472 1594 1796 2456 2944 3188 3592 4912 6376 7061 7184 9824 10327 12752 14122 14368 18331 19648 20654 25504 28244 28736 36662 39296 41308 51008 56488 57472 73324 82616 102016 112976 137843 146648 165232 225952 244679 275686 293296 330464 357853 451904 489358 551372 586592 660928 715706 903808 978716 1102744 1173184 1321856 1431412 1957432 2205488 2346368 2862824 3170389 3914864 4410976 5627617 5725648 6340778 7829728 8230619 8821952 11255234 11451296 12681556 15659456 16461238 17643904 22510468 22902592 25363112 31318912 32922476 45020936 45805184 50726224 65844952 90041872 101452448 109860871 131689904 180083744 202904896 219721742 263379808 360167488 405809792 439443484 526759616 720334976 878886968 1053519232 1757773936 2526800033 3515547872 5053600066 7031095744 10107200132 14062191488 20214400264 40428800528 80857601056 161715202112 323430404224