Search a number
-
+
23453346384 = 24321318736689
BaseRepresentation
bin10101110101111011…
…011010101001010000
32020112111121102220200
4111311323122221100
5341013024041014
614435130335200
71460124104106
oct256573325120
966474542820
1023453346384
119a458912a6
12466658a500
132299c8b070
1411c6bbbc76
1592400ea09
hex575edaa50

23453346384 has 120 divisors (see below), whose sum is σ = 70734092520. Its totient is φ = 7211483136.

The previous prime is 23453346383. The next prime is 23453346401. The reversal of 23453346384 is 48364335432.

23453346384 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 3 + 3 + 4 + 638 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114062400 + 23339283984 = 10680^2 + 152772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453346383) 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, 3502912 + ... + 3509600.

It is an arithmetic number, because the mean of its divisors is an integer number (589450771).

Almost surely, 223453346384 is an apocalyptic number.

23453346384 is a gapful number since it is divisible by the number (24) 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 23453346384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35367046260).

23453346384 is an abundant number, since it is smaller than the sum of its proper divisors (47280746136).

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

23453346384 is a wasteful number, since it uses less digits than its factorization.

23453346384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8580 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 23453346384 in words is "twenty-three billion, four hundred fifty-three million, three hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1873 3746 5619 6689 7492 11238 13378 14984 16857 20067 22476 24349 26756 29968 33714 40134 44952 48698 53512 60201 67428 73047 80268 86957 89904 97396 107024 120402 134856 146094 160536 173914 194792 219141 240804 260871 269712 292188 321072 347828 389584 438282 481608 521742 584376 695656 782613 876564 963216 1043484 1168752 1391312 1565226 1753128 2086968 3130452 3506256 4173936 6260904 12521808 12528497 25056994 37585491 50113988 75170982 100227976 112756473 150341964 162870461 200455952 225512946 300683928 325740922 451025892 488611383 601367856 651481844 902051784 977222766 1302963688 1465834149 1804103568 1954445532 2605927376 2931668298 3908891064 5863336596 7817782128 11726673192 23453346384