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243068420 = 22572972557
BaseRepresentation
bin11100111110011…
…10111000000100
3121221101011012002
432133032320010
5444211142140
640041444432
76011022200
oct1637167004
9557334162
10243068420
111152299a1
12694a0718
133b48668a
14243d3b00
1516515415
hexe7cee04

243068420 has 72 divisors (see below), whose sum is σ = 600137496. Its totient is φ = 82446336.

The previous prime is 243068407. The next prime is 243068437. The reversal of 243068420 is 24860342.

243068420 = T155 + T156 + ... + T1134.

It can be written as a sum of positive squares in 4 ways, for example, as 16144324 + 226924096 = 4018^2 + 15064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93782 + ... + 96338.

It is an arithmetic number, because the mean of its divisors is an integer number (8335243).

Almost surely, 2243068420 is an apocalyptic number.

243068420 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 243068420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300068748).

243068420 is an abundant number, since it is smaller than the sum of its proper divisors (357069076).

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

243068420 is a wasteful number, since it uses less digits than its factorization.

243068420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 243068420 is about 15590.6516861868. The cubic root of 243068420 is about 624.0837090472.

The spelling of 243068420 in words is "two hundred forty-three million, sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2557 2716 3395 4753 5114 6790 9506 10228 12785 13580 17899 19012 23765 25570 35798 47530 51140 71596 89495 95060 125293 178990 248029 250586 357980 496058 501172 626465 992116 1240145 1252930 1736203 2480290 2505860 3472406 4960580 6944812 8681015 12153421 17362030 24306842 34724060 48613684 60767105 121534210 243068420