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3023242440 = 233573563613
BaseRepresentation
bin1011010000110011…
…0000010011001000
321210200202121222020
42310030300103020
522142422224230
61215554324440
7134630064621
oct26414602310
97720677866
103023242440
1113115a5879
12704589720
1339246176a
14209736a48
1512a635810
hexb43304c8

3023242440 has 128 divisors (see below), whose sum is σ = 9225325440. Its totient is φ = 792446976.

The previous prime is 3023242433. The next prime is 3023242441. The reversal of 3023242440 is 442423203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3023242440.

It is not an unprimeable number, because it can be changed into a prime (3023242441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4931574 + ... + 4932186.

It is an arithmetic number, because the mean of its divisors is an integer number (72072855).

Almost surely, 23023242440 is an apocalyptic number.

3023242440 is a gapful number since it is divisible by the number (30) 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 3023242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612662720).

3023242440 is an abundant number, since it is smaller than the sum of its proper divisors (6202083000).

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

3023242440 is a wasteful number, since it uses less digits than its factorization.

3023242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3023242440 is about 54984.0198603194. The cubic root of 3023242440 is about 1445.9645926413.

Adding to 3023242440 its reverse (442423203), we get a palindrome (3465665643).

The spelling of 3023242440 in words is "three billion, twenty-three million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 563 584 613 730 876 1095 1126 1226 1460 1689 1752 1839 2190 2252 2452 2815 2920 3065 3378 3678 4380 4504 4904 5630 6130 6756 7356 8445 8760 9195 11260 12260 13512 14712 16890 18390 22520 24520 33780 36780 41099 44749 67560 73560 82198 89498 123297 134247 164396 178996 205495 223745 246594 268494 328792 345119 357992 410990 447490 493188 536988 616485 671235 690238 821980 894980 986376 1035357 1073976 1232970 1342470 1380476 1643960 1725595 1789960 2070714 2465940 2684940 2760952 3451190 4141428 4931880 5176785 5369880 6902380 8282856 10353570 13804760 20707140 25193687 41414280 50387374 75581061 100774748 125968435 151162122 201549496 251936870 302324244 377905305 503873740 604648488 755810610 1007747480 1511621220 3023242440