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241332320 = 25553149191
BaseRepresentation
bin11100110001001…
…11000001100000
3121211002221201002
432120213001200
5443240113240
635540331132
75660201525
oct1630470140
9554087632
10241332320
111142535a9
12689a3aa8
133acc93b8
14240a114c
15162c0d15
hexe627060

241332320 has 96 divisors (see below), whose sum is σ = 587865600. Its totient is φ = 93583360.

The previous prime is 241332293. The next prime is 241332331. The reversal of 241332320 is 23233142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 241332292 and 241332301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1263425 + ... + 1263615.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2241332320 is an apocalyptic number.

241332320 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 241332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

241332320 is an abundant number, since it is smaller than the sum of its proper divisors (346533280).

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

241332320 is a wasteful number, since it uses less digits than its factorization.

241332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 241332320 is about 15534.8743155521. The cubic root of 241332320 is about 622.5943320322.

Adding to 241332320 its reverse (23233142), we get a palindrome (264565462).

The spelling of 241332320 in words is "two hundred forty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 149 160 191 212 265 298 382 424 530 596 745 764 848 955 1060 1192 1490 1528 1696 1910 2120 2384 2980 3056 3820 4240 4768 5960 6112 7640 7897 8480 10123 11920 15280 15794 20246 23840 28459 30560 31588 39485 40492 50615 56918 63176 78970 80984 101230 113836 126352 142295 157940 161968 202460 227672 252704 284590 315880 323936 404920 455344 569180 631760 809840 910688 1138360 1263520 1508327 1619680 2276720 3016654 4553440 6033308 7541635 12066616 15083270 24133232 30166540 48266464 60333080 120666160 241332320