Search a number
-
+
290350524264 = 233314138924469
BaseRepresentation
bin1000011100110100011…
…11010110011101101000
31000202110000201212111220
410032122033112131220
514224114213234024
6341215111222040
726656104510123
oct4163217263550
91022400655456
10290350524264
11102156335369
1248331977920
13214c294c158
14100a57853ba
15784548ee79
hex439a3d6768

290350524264 has 128 divisors (see below), whose sum is σ = 769571712000. Its totient is φ = 91138406400.

The previous prime is 290350524257. The next prime is 290350524349. The reversal of 290350524264 is 462425053092.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11853822 + ... + 11878290.

It is an arithmetic number, because the mean of its divisors is an integer number (6012279000).

Almost surely, 2290350524264 is an apocalyptic number.

290350524264 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 290350524264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384785856000).

290350524264 is an abundant number, since it is smaller than the sum of its proper divisors (479221187736).

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

290350524264 is a wasteful number, since it uses less digits than its factorization.

290350524264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24939 (or 24935 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 290350524264 in words is "two hundred ninety billion, three hundred fifty million, five hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 389 492 744 778 984 1167 1271 1556 2334 2542 3112 3813 4668 5084 7626 9336 10168 12059 15252 15949 24118 24469 30504 31898 36177 47847 48236 48938 63796 72354 73407 95694 96472 97876 127592 144708 146814 191388 195752 289416 293628 382776 494419 587256 758539 988838 1003229 1483257 1517078 1977676 2006458 2275617 2966514 3009687 3034156 3955352 4012916 4551234 5933028 6019374 6068312 8025832 9102468 9518441 11866056 12038748 18204936 19036882 24077496 28555323 31100099 38073764 57110646 62200198 76147528 93300297 114221292 124400396 186600594 228442584 248800792 295071671 373201188 390256081 590143342 746402376 780512162 885215013 1170768243 1180286684 1561024324 1770430026 2341536486 2360573368 3122048648 3540860052 4683072972 7081720104 9366145944 12097938511 24195877022 36293815533 48391754044 72587631066 96783508088 145175262132 290350524264