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242326360 = 23547157821
BaseRepresentation
bin11100111000110…
…01101101011000
3121212222110021101
432130121231120
5444013420420
640013521144
76001511563
oct1634315530
9555873241
10242326360
11114872421
12691a31b4
133b2869a3
142427d4da
151641a60a
hexe719b58

242326360 has 64 divisors (see below), whose sum is σ = 561064320. Its totient is φ = 94149120.

The previous prime is 242326339. The next prime is 242326363. The reversal of 242326360 is 63623242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242326363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294750 + ... + 295570.

It is an arithmetic number, because the mean of its divisors is an integer number (8766630).

Almost surely, 2242326360 is an apocalyptic number.

242326360 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 242326360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280532160).

242326360 is an abundant number, since it is smaller than the sum of its proper divisors (318737960).

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

242326360 is a wasteful number, since it uses less digits than its factorization.

242326360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 242326360 is about 15566.8352596152. The cubic root of 242326360 is about 623.4479763463.

The spelling of 242326360 in words is "two hundred forty-two million, three hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 157 188 235 314 376 470 628 785 821 940 1256 1570 1642 1880 3140 3284 4105 6280 6568 7379 8210 14758 16420 29516 32840 36895 38587 59032 73790 77174 128897 147580 154348 192935 257794 295160 308696 385870 515588 644485 771740 1031176 1288970 1543480 2577940 5155880 6058159 12116318 24232636 30290795 48465272 60581590 121163180 242326360