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1340626224 = 243789127353
BaseRepresentation
bin100111111101000…
…0101010100110000
310110102121212110010
41033322011110300
510221200014344
6341010134520
745136064160
oct11772052460
93412555403
101340626224
11628826363
12314b81440
13184990872
14ca0985a0
157ca678b9
hex4fe85530

1340626224 has 160 divisors (see below), whose sum is σ = 4045455360. Its totient is φ = 374685696.

The previous prime is 1340626211. The next prime is 1340626253. The reversal of 1340626224 is 4226260431.

It is a junction number, because it is equal to n+sod(n) for n = 1340626191 and 1340626200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797632 + ... + 3797984.

It is an arithmetic number, because the mean of its divisors is an integer number (25284096).

Almost surely, 21340626224 is an apocalyptic number.

1340626224 is a gapful number since it is divisible by the number (14) 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 1340626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022727680).

1340626224 is an abundant number, since it is smaller than the sum of its proper divisors (2704829136).

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

1340626224 is a wasteful number, since it uses less digits than its factorization.

1340626224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1340626224 is about 36614.5630043566. The cubic root of 1340626224 is about 1102.6454848863.

Adding to 1340626224 its reverse (4226260431), we get a palindrome (5566886655).

The spelling of 1340626224 in words is "one billion, three hundred forty million, six hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 127 168 178 254 267 336 353 356 381 508 534 623 706 712 762 889 1016 1059 1068 1246 1412 1424 1524 1778 1869 2032 2118 2136 2471 2492 2667 2824 3048 3556 3738 4236 4272 4942 4984 5334 5648 6096 7112 7413 7476 8472 9884 9968 10668 11303 14224 14826 14952 16944 19768 21336 22606 29652 29904 31417 33909 39536 42672 44831 45212 59304 62834 67818 79121 89662 90424 94251 118608 125668 134493 135636 158242 179324 180848 188502 219919 237363 251336 268986 271272 313817 316484 358648 377004 439838 474726 502672 537972 542544 627634 632968 659757 717296 754008 879676 941451 949452 1075944 1255268 1265936 1319514 1508016 1759352 1882902 1898904 2151888 2510536 2639028 3518704 3765804 3797808 3989959 5021072 5278056 7531608 7979918 10556112 11969877 15063216 15959836 23939754 27929713 31919672 47879508 55859426 63839344 83789139 95759016 111718852 167578278 191518032 223437704 335156556 446875408 670313112 1340626224