Search a number
-
+
241349136 = 243717293147
BaseRepresentation
bin11100110001010…
…11001000010000
3121211010210202220
432120223020100
5443241133021
635540541040
75660301540
oct1630531020
9554123686
10241349136
111142651a6
12689b1780
133b003c52
14240a7320
15162c5cc6
hexe62b210

241349136 has 320 divisors, whose sum is σ = 822804480. Its totient is φ = 59351040.

The previous prime is 241349111. The next prime is 241349137. The reversal of 241349136 is 631943142.

It is a junction number, because it is equal to n+sod(n) for n = 241349097 and 241349106.

It is not an unprimeable number, because it can be changed into a prime (241349137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5135065 + ... + 5135111.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2241349136 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 241349136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

241349136 is an abundant number, since it is smaller than the sum of its proper divisors (581455344).

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

241349136 is a wasteful number, since it uses less digits than its factorization.

241349136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 241349136 is about 15535.4155399848. The cubic root of 241349136 is about 622.6087924563.

The spelling of 241349136 in words is "two hundred forty-one million, three hundred forty-nine thousand, one hundred thirty-six".