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1340224304430 = 2351117955125013
BaseRepresentation
bin10011100000001011100…
…101111111010100101110
311202010100112110211120010
4103200023211333110232
5133424234410220210
62503405054034050
7165554002424064
oct23401345772456
94663315424503
101340224304430
114774277534a0
121978b24a8926
13994c87936cb
1448c1d864034
1524ce0467920
hex1380b97f52e

1340224304430 has 128 divisors (see below), whose sum is σ = 3715897337856. Its totient is φ = 305746688000.

The previous prime is 1340224304407. The next prime is 1340224304477. The reversal of 1340224304430 is 344034220431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53568604 + ... + 53593616.

It is an arithmetic number, because the mean of its divisors is an integer number (29030447952).

Almost surely, 21340224304430 is an apocalyptic number.

1340224304430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340224304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857948668928).

1340224304430 is an abundant number, since it is smaller than the sum of its proper divisors (2375673033426).

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

1340224304430 is a wasteful number, since it uses less digits than its factorization.

1340224304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34602.

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

Adding to 1340224304430 its reverse (344034220431), we get a palindrome (1684258524861).

The spelling of 1340224304430 in words is "one trillion, three hundred forty billion, two hundred twenty-four million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 9551 19102 25013 28653 47755 50026 57306 75039 95510 105061 125065 143265 150078 162367 210122 250130 275143 286530 315183 324734 375195 425221 487101 525305 550286 630366 750390 811835 825429 850442 974202 1050610 1275663 1375715 1575915 1623670 1650858 1786037 2126105 2435505 2551326 2751430 3151830 3572074 4127145 4252210 4677431 4871010 5358111 6378315 8254290 8930185 9354862 10716222 12756630 14032293 17860370 23387155 26790555 28064586 46774310 53581110 70161465 140322930 238899163 477798326 716697489 1194495815 1433394978 2388991630 2627890793 3583487445 4061285771 5255781586 7166974890 7883672379 8122571542 12183857313 13139453965 15767344758 20306428855 24367714626 26278907930 39418361895 40612857710 44674143481 60919286565 78836723790 89348286962 121838573130 134022430443 223370717405 268044860886 446741434810 670112152215 1340224304430