Search a number
-
+
241734168 = 233213271953
BaseRepresentation
bin11100110100010…
…01001000011000
3121211212100221100
432122021020120
5443340443133
635553111400
75663464224
oct1632111030
9554770840
10241734168
111144a8505
1268b58560
133b10a290
1424167784
151634ee13
hexe689218

241734168 has 96 divisors (see below), whose sum is σ = 708402240. Its totient is φ = 74027520.

The previous prime is 241734167. The next prime is 241734179. The reversal of 241734168 is 861437142.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241734167) 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 23 ways as a sum of consecutive naturals, for example, 253180 + ... + 254132.

It is an arithmetic number, because the mean of its divisors is an integer number (7379190).

Almost surely, 2241734168 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 241734168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354201120).

241734168 is an abundant number, since it is smaller than the sum of its proper divisors (466668072).

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

241734168 is a wasteful number, since it uses less digits than its factorization.

241734168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 241734168 is about 15547.8026743331. The cubic root of 241734168 is about 622.9397057900.

It can be divided in two parts, 2417 and 34168, that added together give a triangular number (36585 = T270).

The spelling of 241734168 in words is "two hundred forty-one million, seven hundred thirty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 271 312 468 542 813 936 953 1084 1626 1906 2168 2439 2859 3252 3523 3812 4878 5718 6504 7046 7624 8577 9756 10569 11436 12389 14092 17154 19512 21138 22872 24778 28184 31707 34308 37167 42276 49556 63414 68616 74334 84552 99112 111501 126828 148668 223002 253656 258263 297336 446004 516526 774789 892008 1033052 1549578 2066104 2324367 3099156 3357419 4648734 6198312 6714838 9297468 10072257 13429676 18594936 20144514 26859352 30216771 40289028 60433542 80578056 120867084 241734168