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242730 = 23352931
BaseRepresentation
bin111011010000101010
3110022222000
4323100222
530231410
65111430
72030445
oct732052
9408860
10242730
11156404
12b8576
1386637
146465c
154bdc0
hex3b42a

242730 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 60480.

The previous prime is 242729. The next prime is 242731. The reversal of 242730 is 37242.

It is a happy number.

242730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242729) and next prime (242731).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 48 + 7 + 25 + 311 + 0 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7815 + ... + 7845.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2242730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

242730 is an abundant number, since it is smaller than the sum of its proper divisors (448470).

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

242730 is a wasteful number, since it uses less digits than its factorization.

242730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 242730 is about 492.6763643610. The cubic root of 242730 is about 62.3793940838.

Adding to 242730 its reverse (37242), we get a palindrome (279972).

The spelling of 242730 in words is "two hundred forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 87 90 93 135 145 155 174 186 261 270 279 290 310 435 465 522 558 783 837 870 899 930 1305 1395 1566 1674 1798 2610 2697 2790 3915 4185 4495 5394 7830 8091 8370 8990 13485 16182 24273 26970 40455 48546 80910 121365 242730