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1024232430 = 2351319277499
BaseRepresentation
bin111101000011001…
…000101111101110
32122101021101202110
4331003020233232
54044200414210
6245344504450
734244555244
oct7503105756
92571241673
101024232430
11486174a91
1224701b126
13134272bc0
149a058794
155edbb420
hex3d0c8bee

1024232430 has 128 divisors (see below), whose sum is σ = 2802240000. Its totient is φ = 237510144.

The previous prime is 1024232423. The next prime is 1024232441. The reversal of 1024232430 is 342324201.

It is a junction number, because it is equal to n+sod(n) for n = 1024232397 and 1024232406.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2052321 + ... + 2052819.

It is an arithmetic number, because the mean of its divisors is an integer number (21892500).

Almost surely, 21024232430 is an apocalyptic number.

1024232430 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 1024232430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401120000).

1024232430 is an abundant number, since it is smaller than the sum of its proper divisors (1778007570).

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

1024232430 is a wasteful number, since it uses less digits than its factorization.

1024232430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1024232430 is about 32003.6315126893. The cubic root of 1024232430 is about 1008.0130954616.

Adding to 1024232430 its reverse (342324201), we get a palindrome (1366556631).

The spelling of 1024232430 in words is "one billion, twenty-four million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 277 285 390 494 499 554 570 741 831 998 1235 1385 1482 1497 1662 2470 2495 2770 2994 3601 3705 4155 4990 5263 6487 7202 7410 7485 8310 9481 10526 10803 12974 14970 15789 18005 18962 19461 21606 26315 28443 31578 32435 36010 38922 47405 52630 54015 56886 64870 68419 78945 94810 97305 108030 123253 136838 138223 142215 157890 194610 205257 246506 276446 284430 342095 369759 410514 414669 616265 684190 691115 739518 829338 1026285 1232530 1382230 1796899 1848795 2052570 2073345 2626237 3593798 3697590 4146690 5252474 5390697 7878711 8984495 10781394 13131185 15757422 17968990 26262370 26953485 34141081 39393555 53906970 68282162 78787110 102423243 170705405 204846486 341410810 512116215 1024232430