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1334431240 = 235731074271
BaseRepresentation
bin100111110001001…
…1100111000001000
310102222222010112021
41033202130320020
510213103244430
6340225254224
745032323042
oct11742347010
93388863467
101334431240
11625284a3a
12312a94374
13183601bac
14c9324a92
157c24207a
hex4f89ce08

1334431240 has 64 divisors (see below), whose sum is σ = 3072764160. Its totient is φ = 521418240.

The previous prime is 1334431213. The next prime is 1334431247. The reversal of 1334431240 is 421344331.

It is not an unprimeable number, because it can be changed into a prime (1334431247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310305 + ... + 314575.

It is an arithmetic number, because the mean of its divisors is an integer number (48011940).

Almost surely, 21334431240 is an apocalyptic number.

1334431240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536382080).

1334431240 is an abundant number, since it is smaller than the sum of its proper divisors (1738332920).

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

1334431240 is a wasteful number, since it uses less digits than its factorization.

1334431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1334431240 is about 36529.8677796676. The cubic root of 1334431240 is about 1100.9444340782.

Adding to 1334431240 its reverse (421344331), we get a palindrome (1755775571).

The spelling of 1334431240 in words is "one billion, three hundred thirty-four million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 107 146 214 292 365 428 535 584 730 856 1070 1460 2140 2920 4271 4280 7811 8542 15622 17084 21355 31244 34168 39055 42710 62488 78110 85420 156220 170840 311783 312440 456997 623566 913994 1247132 1558915 1827988 2284985 2494264 3117830 3655976 4569970 6235660 9139940 12471320 18279880 33360781 66721562 133443124 166803905 266886248 333607810 667215620 1334431240