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1324240034304 = 29311193406093
BaseRepresentation
bin10011010001010010110…
…110110101101000000000
311200121002120020210002110
4103101102312311220000
5133144020422044204
62452203015415320
7164446621366335
oct23212266655000
94617076223073
101324240034304
11470674a817a0
12194791384540
1397b4c0570c5
1448144a2898c
15246a702c889
hex13452db5a00

1324240034304 has 160 divisors (see below), whose sum is σ = 3868522916544. Its totient is φ = 399204679680.

The previous prime is 1324240034303. The next prime is 1324240034317. The reversal of 1324240034304 is 4034300424231.

It is a happy number.

It is a super-2 number, since 2×13242400343042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1324240034303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3057882 + ... + 3463974.

Almost surely, 21324240034304 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 1324240034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934261458272).

1324240034304 is an abundant number, since it is smaller than the sum of its proper divisors (2544282882240).

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

1324240034304 is a wasteful number, since it uses less digits than its factorization.

1324240034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406318 (or 406302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1324240034304 its reverse (4034300424231), we get a palindrome (5358540458535).

The spelling of 1324240034304 in words is "one trillion, three hundred twenty-four billion, two hundred forty million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 193 256 264 352 384 386 512 528 579 704 768 772 1056 1158 1408 1536 1544 2112 2123 2316 2816 3088 4224 4246 4632 5632 6176 6369 8448 8492 9264 12352 12738 16896 16984 18528 24704 25476 33968 37056 49408 50952 67936 74112 98816 101904 135872 148224 203808 271744 296448 406093 407616 543488 812186 815232 1086976 1218279 1624372 1630464 2436558 3248744 3260928 4467023 4873116 6497488 8934046 9746232 12994976 13401069 17868092 19492464 25989952 26802138 35736184 38984928 51979904 53604276 71472368 77969856 78375949 103959808 107208552 142944736 155939712 156751898 207919616 214417104 235127847 285889472 311879424 313503796 428834208 470255694 571778944 623758848 627007592 857668416 862135439 940511388 1143557888 1254015184 1715336832 1724270878 1881022776 2287115776 2508030368 2586406317 3430673664 3448541756 3762045552 5016060736 5172812634 6861347328 6897083512 7524091104 10032121472 10345625268 13794167024 15048182208 20064242944 20691250536 27588334048 30096364416 40128485888 41382501072 55176668096 60192728832 82765002144 110353336192 120385457664 165530004288 220706672384 331060008576 441413344768 662120017152 1324240034304