Search a number
-
+
1364401324 = 221121319101113
BaseRepresentation
bin101000101010011…
…0001110010101100
310112002100202202101
41101110301302230
510243241320244
6343215504444
745545135266
oct12124616254
93462322671
101364401324
11640194a00
12320b28124
13189896380
14cd2c6b36
157ebb20d4
hex51531cac

1364401324 has 144 divisors (see below), whose sum is σ = 3031187040. Its totient is φ = 532224000.

The previous prime is 1364401303. The next prime is 1364401361. The reversal of 1364401324 is 4231044631.

It is a junction number, because it is equal to n+sod(n) for n = 1364401292 and 1364401301.

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, 12074292 + ... + 12074404.

It is an arithmetic number, because the mean of its divisors is an integer number (21049910).

Almost surely, 21364401324 is an apocalyptic number.

It is an amenable number.

1364401324 is an abundant number, since it is smaller than the sum of its proper divisors (1666785716).

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

1364401324 is a wasteful number, since it uses less digits than its factorization.

1364401324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1364401324 is about 36937.8034539143. The cubic root of 1364401324 is about 1109.1255521343.

Adding to 1364401324 its reverse (4231044631), we get a palindrome (5595445955).

The spelling of 1364401324 in words is "one billion, three hundred sixty-four million, four hundred one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 101 113 121 143 202 209 226 242 247 286 404 418 452 484 494 572 836 988 1111 1243 1313 1469 1573 1919 2147 2222 2299 2486 2626 2717 2938 3146 3838 4294 4444 4598 4972 5252 5434 5876 6292 7676 8588 9196 10868 11413 12221 13673 14443 16159 21109 22826 23617 24442 24947 27346 27911 28886 29887 32318 42218 45652 47234 48884 49894 54692 55822 57772 59774 64636 84436 94468 99788 111644 119548 125543 148369 158873 177749 216847 232199 251086 259787 274417 296738 307021 317746 355498 433694 464398 502172 519574 548834 593476 614042 635492 710996 867388 928796 1039148 1097668 1228084 1380973 1632059 2385317 2761946 2819011 3018587 3264118 3377231 4770634 5523892 5638022 6037174 6528236 6754462 9541268 11276044 12074348 13508924 17952649 26238487 31009121 35905298 52476974 62018242 71810596 104953948 124036484 341100331 682200662 1364401324