Search a number
-
+
241561944 = 233213409631
BaseRepresentation
bin11100110010111…
…11000101011000
3121211112121200200
432121133011120
5443314440234
635545302200
75662146141
oct1631370530
9554477620
10241561944
111143a0078
1268a94960
133b079a80
1424120ac8
1516318d99
hexe65f158

241561944 has 96 divisors (see below), whose sum is σ = 707397600. Its totient is φ = 74027520.

The previous prime is 241561861. The next prime is 241561961. The reversal of 241561944 is 449165142.

241561944 is a `hidden beast` number, since 2 + 4 + 1 + 561 + 94 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 241561899 and 241561908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382509 + ... + 383139.

It is an arithmetic number, because the mean of its divisors is an integer number (7368725).

Almost surely, 2241561944 is an apocalyptic number.

241561944 is a gapful number since it is divisible by the number (24) 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 241561944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353698800).

241561944 is an abundant number, since it is smaller than the sum of its proper divisors (465835656).

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

241561944 is a wasteful number, since it uses less digits than its factorization.

241561944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 241561944 is about 15542.2631556669. The cubic root of 241561944 is about 622.7917324227.

The spelling of 241561944 in words is "two hundred forty-one million, five hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 409 468 631 818 936 1227 1262 1636 1893 2454 2524 3272 3681 3786 4908 5048 5317 5679 7362 7572 8203 9816 10634 11358 14724 15144 15951 16406 21268 22716 24609 29448 31902 32812 42536 45432 47853 49218 63804 65624 73827 95706 98436 127608 147654 191412 196872 258079 295308 382824 516158 590616 774237 1032316 1548474 2064632 2322711 3096948 3355027 4645422 6193896 6710054 9290844 10065081 13420108 18581688 20130162 26840216 30195243 40260324 60390486 80520648 120780972 241561944