Search a number
-
+
1328709468 = 223412199331
BaseRepresentation
bin100111100110010…
…0111111101011100
310102121012102201210
41033030213331130
510210122200333
6335502504420
744632562352
oct11714477534
93377172653
101328709468
116220270a9
12310b95110
1318237a728
14c86757d2
157b9b1a63
hex4f327f5c

1328709468 has 72 divisors (see below), whose sum is σ = 3203401600. Its totient is φ = 428630400.

The previous prime is 1328709461. The next prime is 1328709491. The reversal of 1328709468 is 8649078231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328709461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4014063 + ... + 4014393.

Almost surely, 21328709468 is an apocalyptic number.

It is an amenable number.

1328709468 is an abundant number, since it is smaller than the sum of its proper divisors (1874692132).

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

1328709468 is a wasteful number, since it uses less digits than its factorization.

1328709468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1328709468 is about 36451.4672955699. The cubic root of 1328709468 is about 1099.3686371374.

The spelling of 1328709468 in words is "one billion, three hundred twenty-eight million, seven hundred nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 164 199 246 331 398 492 597 662 796 993 1194 1324 1681 1986 2388 3362 3972 5043 6724 8159 10086 13571 16318 20172 24477 27142 32636 40713 48954 54284 65869 81426 97908 131738 162852 197607 263476 334519 395214 556411 669038 790428 1003557 1112822 1338076 1669233 2007114 2225644 2700629 3338466 4014228 5401258 6676932 8101887 10802516 16203774 32407548 110725789 221451578 332177367 442903156 664354734 1328709468