Search a number
-
+
241357296 = 243172271303
BaseRepresentation
bin11100110001011…
…01000111110000
3121211011012222010
432120231013300
5443241413141
635541042520
75660334405
oct1630550760
9554135863
10241357296
11114270344
12689b6440
133b00788b
14240aa2ac
15162c8416
hexe62d1f0

241357296 has 80 divisors (see below), whose sum is σ = 663600384. Its totient is φ = 75328512.

The previous prime is 241357241. The next prime is 241357301. The reversal of 241357296 is 692753142.

241357296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184581 + ... + 185883.

Almost surely, 2241357296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241357296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331800192).

241357296 is an abundant number, since it is smaller than the sum of its proper divisors (422243088).

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

241357296 is a wasteful number, since it uses less digits than its factorization.

241357296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 241357296 is about 15535.6781635048. The cubic root of 241357296 is about 622.6158091661.

The spelling of 241357296 in words is "two hundred forty-one million, three hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 227 272 408 454 681 816 908 1303 1362 1816 2606 2724 3632 3859 3909 5212 5448 7718 7818 10424 10896 11577 15436 15636 20848 22151 23154 30872 31272 44302 46308 61744 62544 66453 88604 92616 132906 177208 185232 265812 295781 354416 531624 591562 887343 1063248 1183124 1774686 2366248 3549372 4732496 5028277 7098744 10056554 14197488 15084831 20113108 30169662 40226216 60339324 80452432 120678648 241357296