Search a number
-
+
23404433240 = 2355389163761
BaseRepresentation
bin10101110011000000…
…110100111101011000
32020102002120101200202
4111303000310331120
5340413013330430
614430222121332
71455661254146
oct256300647530
966362511622
1023404433240
119a20213111
124652120248
13228cac3586
1411c04c8596
1591ea9bd45
hex573034f58

23404433240 has 128 divisors (see below), whose sum is σ = 54661003200. Its totient is φ = 9014353920.

The previous prime is 23404433203. The next prime is 23404433257. The reversal of 23404433240 is 4233440432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30754460 + ... + 30755220.

Almost surely, 223404433240 is an apocalyptic number.

23404433240 is a gapful number since it is divisible by the number (20) 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 23404433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27330501600).

23404433240 is an abundant number, since it is smaller than the sum of its proper divisors (31256569960).

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

23404433240 is a wasteful number, since it uses less digits than its factorization.

23404433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 23404433240 its reverse (4233440432), we get a palindrome (27637873672).

The spelling of 23404433240 in words is "twenty-three billion, four hundred four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 89 106 163 178 212 265 326 356 424 445 530 652 712 761 815 890 1060 1304 1522 1630 1780 2120 3044 3260 3560 3805 4717 6088 6520 7610 8639 9434 14507 15220 17278 18868 23585 29014 30440 34556 37736 40333 43195 47170 58028 67729 69112 72535 80666 86390 94340 116056 124043 135458 145070 161332 172780 188680 201665 248086 270916 290140 322664 338645 345560 403330 496172 541832 580280 620215 677290 768871 806660 992344 1240430 1354580 1537742 1613320 2480860 2709160 3075484 3589637 3844355 4961720 6150968 6574279 7179274 7688710 11039827 13148558 14358548 15377420 17948185 22079654 26297116 28717096 30754840 32871395 35896370 44159308 52594232 55199135 65742790 71792740 88318616 110398270 131485580 143585480 220796540 262971160 441593080 585110831 1170221662 2340443324 2925554155 4680886648 5851108310 11702216620 23404433240