Search a number
-
+
241323000 = 23353257313
BaseRepresentation
bin11100110001001…
…00101111111000
3121211002110220220
432120210233320
5443234314000
635540220040
75660132412
oct1630445770
9554073826
10241323000
111142475a6
126899a620
133acc5099
142409b9b2
15162bd1a0
hexe624bf8

241323000 has 128 divisors (see below), whose sum is σ = 758272320. Its totient is φ = 63897600.

The previous prime is 241322981. The next prime is 241323011. The reversal of 241323000 is 323142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 770844 + ... + 771156.

Almost surely, 2241323000 is an apocalyptic number.

241323000 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 241323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379136160).

241323000 is an abundant number, since it is smaller than the sum of its proper divisors (516949320).

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

241323000 is a wasteful number, since it uses less digits than its factorization.

241323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 241323000 is about 15534.5743424144. The cubic root of 241323000 is about 622.5863172832.

Adding to 241323000 its reverse (323142), we get a palindrome (241646142).

The spelling of 241323000 in words is "two hundred forty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 257 300 313 375 500 514 600 626 750 771 939 1000 1028 1252 1285 1500 1542 1565 1878 2056 2504 2570 3000 3084 3130 3756 3855 4695 5140 6168 6260 6425 7512 7710 7825 9390 10280 12520 12850 15420 15650 18780 19275 23475 25700 30840 31300 32125 37560 38550 39125 46950 51400 62600 64250 77100 78250 80441 93900 96375 117375 128500 154200 156500 160882 187800 192750 234750 241323 257000 313000 321764 385500 402205 469500 482646 643528 771000 804410 939000 965292 1206615 1608820 1930584 2011025 2413230 3217640 4022050 4826460 6033075 8044100 9652920 10055125 12066150 16088200 20110250 24132300 30165375 40220500 48264600 60330750 80441000 120661500 241323000