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1340333340 = 2235196731747
BaseRepresentation
bin100111111100011…
…1101110100011100
310110102001222200120
41033320331310130
510221111131330
6340555554540
745133434243
oct11770756434
93412058616
101340333340
11628646305
12314a5ba50
131848ba468
14ca01d95a
157ca0ac10
hex4fe3dd1c

1340333340 has 96 divisors (see below), whose sum is σ = 3958590720. Its totient is φ = 337913856.

The previous prime is 1340333311. The next prime is 1340333353. The reversal of 1340333340 is 433330431.

It is a self number, because there is not a number n which added to its sum of digits gives 1340333340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766347 + ... + 768093.

It is an arithmetic number, because the mean of its divisors is an integer number (41235320).

Almost surely, 21340333340 is an apocalyptic number.

1340333340 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 1340333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979295360).

1340333340 is an abundant number, since it is smaller than the sum of its proper divisors (2618257380).

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

1340333340 is a wasteful number, since it uses less digits than its factorization.

1340333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 1340333340 is about 36610.5632297565. The cubic root of 1340333340 is about 1102.5651814343.

Adding to 1340333340 its reverse (433330431), we get a palindrome (1773663771).

The spelling of 1340333340 in words is "one billion, three hundred forty million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 673 1140 1346 1747 2019 2692 3365 3494 4038 5241 6730 6988 8076 8735 10095 10482 12787 13460 17470 20190 20964 25574 26205 33193 34940 38361 40380 51148 52410 63935 66386 76722 99579 104820 127870 132772 153444 165965 191805 199158 255740 331930 383610 398316 497895 663860 767220 995790 1175731 1991580 2351462 3527193 4702924 5878655 7054386 11757310 14108772 17635965 22338889 23514620 35271930 44677778 67016667 70543860 89355556 111694445 134033334 223388890 268066668 335083335 446777780 670166670 1340333340