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241343040 = 2635594261
BaseRepresentation
bin11100110001010…
…01101001000000
3121211010111102010
432120221221000
5443240434130
635540452520
75660245011
oct1630515100
9554114363
10241343040
11114260664
12689aa140
133b001243
14240a5008
15162c40b0
hexe629a40

241343040 has 112 divisors (see below), whose sum is σ = 779434560. Its totient is φ = 63252480.

The previous prime is 241343009. The next prime is 241343041. The reversal of 241343040 is 40343142.

It is a junction number, because it is equal to n+sod(n) for n = 241342998 and 241343016.

It is not an unprimeable number, because it can be changed into a prime (241343041) 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 15 ways as a sum of consecutive naturals, for example, 54510 + ... + 58770.

Almost surely, 2241343040 is an apocalyptic number.

241343040 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 241343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389717280).

241343040 is an abundant number, since it is smaller than the sum of its proper divisors (538091520).

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

241343040 is a wasteful number, since it uses less digits than its factorization.

241343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 241343040 is about 15535.2193418696. The cubic root of 241343040 is about 622.6035504582.

Adding to 241343040 its reverse (40343142), we get a palindrome (281686182).

The spelling of 241343040 in words is "two hundred forty-one million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2360 2832 3540 3776 4261 4720 5664 7080 8522 9440 11328 12783 14160 17044 18880 21305 25566 28320 34088 42610 51132 56640 63915 68176 85220 102264 127830 136352 170440 204528 251399 255660 272704 340880 409056 502798 511320 681760 754197 818112 1005596 1022640 1256995 1363520 1508394 2011192 2045280 2513990 3016788 3770985 4022384 4090560 5027980 6033576 7541970 8044768 10055960 12067152 15083940 16089536 20111920 24134304 30167880 40223840 48268608 60335760 80447680 120671520 241343040