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1431224340 = 2235721337447
BaseRepresentation
bin101010101001110…
…1100000000010100
310200202002201200220
41111103230000110
510412343134330
6354004034340
750316130500
oct12523540024
93622081626
101431224340
11674986037
1233b3929b0
1319a691b10
14d811d300
15859b1710
hex554ec014

1431224340 has 144 divisors (see below), whose sum is σ = 5020428672. Its totient is φ = 301964544.

The previous prime is 1431224323. The next prime is 1431224359. The reversal of 1431224340 is 434221341.

It is a super-2 number, since 2×14312243402 = 4096806222816871200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1431224340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19497 + ... + 56943.

It is an arithmetic number, because the mean of its divisors is an integer number (34864088).

Almost surely, 21431224340 is an apocalyptic number.

1431224340 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 1431224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510214336).

1431224340 is an abundant number, since it is smaller than the sum of its proper divisors (3589204332).

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

1431224340 is a wasteful number, since it uses less digits than its factorization.

1431224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37486 (or 37477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1431224340 is about 37831.5257424281. The cubic root of 1431224340 is about 1126.9446110402.

Adding to 1431224340 its reverse (434221341), we get a palindrome (1865445681).

Subtracting from 1431224340 its reverse (434221341), we obtain a cube (997002999 = 9993).

The spelling of 1431224340 in words is "one billion, four hundred thirty-one million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 37447 38220 74894 112341 149788 187235 224682 262129 374470 449364 486811 524258 561705 748940 786387 973622 1048516 1123410 1310645 1460433 1572774 1834903 1947244 2246820 2434055 2621290 2920866 3145548 3407677 3669806 3931935 4868110 5242580 5504709 5841732 6815354 7302165 7339612 7863870 9174515 9736220 10223031 11009418 13630708 14604330 15727740 17038385 18349030 20446062 22018836 23853739 27523545 29208660 34076770 36698060 40892124 47707478 51115155 55047090 68153540 71561217 95414956 102230310 110094180 119268695 143122434 204460620 238537390 286244868 357806085 477074780 715612170 1431224340