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241343440 = 245131092129
BaseRepresentation
bin11100110001010…
…01101111010000
3121211010111221221
432120221233100
5443240442230
635540454424
75660246122
oct1630515720
9554114857
10241343440
11114260998
12689aa414
133b001490
14240a5212
15162c427a
hexe629bd0

241343440 has 80 divisors (see below), whose sum is σ = 610117200. Its totient is φ = 88252416.

The previous prime is 241343429. The next prime is 241343461. The reversal of 241343440 is 44343142.

241343440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20286016 + 221057424 = 4504^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 112296 + ... + 114424.

It is an arithmetic number, because the mean of its divisors is an integer number (7626465).

Almost surely, 2241343440 is an apocalyptic number.

241343440 is a gapful number since it is divisible by the number (20) 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 241343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305058600).

241343440 is an abundant number, since it is smaller than the sum of its proper divisors (368773760).

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

241343440 is a wasteful number, since it uses less digits than its factorization.

241343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 241343440 is about 15535.2322158377. The cubic root of 241343440 is about 622.6038944241.

Adding to 241343440 its reverse (44343142), we get a palindrome (285686582).

The spelling of 241343440 in words is "two hundred forty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2129 2180 2834 4258 4360 5668 7085 8516 8720 10645 11336 14170 17032 21290 22672 27677 28340 34064 42580 55354 56680 85160 110708 113360 138385 170320 221416 232061 276770 442832 464122 553540 928244 1107080 1160305 1856488 2214160 2320610 3016793 3712976 4641220 6033586 9282440 12067172 15083965 18564880 24134344 30167930 48268688 60335860 120671720 241343440