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243993780 = 2232510113421
BaseRepresentation
bin11101000101100…
…00110010110100
3122000010011112200
432202300302310
5444430300110
640113344500
76021625062
oct1642606264
9560104480
10243993780
11115801158
1269868130
133b71b924
1424595032
15166496c0
hexe8b0cb4

243993780 has 72 divisors (see below), whose sum is σ = 747498024. Its totient is φ = 64416000.

The previous prime is 243993773. The next prime is 243993793. The reversal of 243993780 is 87399342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146458404 + 97535376 = 12102^2 + 9876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11470 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (10381917).

Almost surely, 2243993780 is an apocalyptic number.

243993780 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 243993780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373749012).

243993780 is an abundant number, since it is smaller than the sum of its proper divisors (503504244).

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

243993780 is a wasteful number, since it uses less digits than its factorization.

243993780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537 (or 13532 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 243993780 is about 15620.3002531962. The cubic root of 243993780 is about 624.8746671350.

The spelling of 243993780 in words is "two hundred forty-three million, nine hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 13421 18180 26842 40263 53684 67105 80526 120789 134210 161052 201315 241578 268420 402630 483156 603945 805260 1207890 1355521 2415780 2711042 4066563 5422084 6777605 8133126 12199689 13555210 16266252 20332815 24399378 27110420 40665630 48798756 60998445 81331260 121996890 243993780