Search a number
-
+
241402304 = 26111322029
BaseRepresentation
bin11100110001110…
…00000111000000
3121211020111201002
432120320013000
5443244333204
635542031132
75660612543
oct1630700700
9554214632
10241402304
111142a1140
1268a184a8
133b022200
14240bc85a
15162d691e
hexe6381c0

241402304 has 84 divisors (see below), whose sum is σ = 566150760. Its totient is φ = 101237760.

The previous prime is 241402303. The next prime is 241402307. The reversal of 241402304 is 403204142.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241402303) 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 11 ways as a sum of consecutive naturals, for example, 117962 + ... + 119990.

It is an arithmetic number, because the mean of its divisors is an integer number (6739890).

Almost surely, 2241402304 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 241402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283075380).

241402304 is an abundant number, since it is smaller than the sum of its proper divisors (324748456).

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

241402304 is a wasteful number, since it uses less digits than its factorization.

241402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 241402304 is about 15537.1266326821. The cubic root of 241402304 is about 622.6545082940.

Adding to 241402304 its reverse (403204142), we get a palindrome (644606446).

The spelling of 241402304 in words is "two hundred forty-one million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 169 176 208 286 338 352 416 572 676 704 832 1144 1352 1859 2029 2288 2704 3718 4058 4576 5408 7436 8116 9152 10816 14872 16232 22319 26377 29744 32464 44638 52754 59488 64928 89276 105508 118976 129856 178552 211016 290147 342901 357104 422032 580294 685802 714208 844064 1160588 1371604 1428416 1688128 2321176 2743208 3771911 4642352 5486416 7543822 9284704 10972832 15087644 18569408 21945664 30175288 60350576 120701152 241402304