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243461364 = 223191636551
BaseRepresentation
bin11101000001011…
…10110011110100
3121222010010012120
432200232303310
5444311230424
640054115540
76014246616
oct1640566364
9558103176
10243461364
11115478143
126964bbb0
133b5934a3
1424496db6
1516591a79
hexe82ecf4

243461364 has 48 divisors (see below), whose sum is σ = 601735680. Its totient is φ = 76399200.

The previous prime is 243461347. The next prime is 243461401. The reversal of 243461364 is 463164342.

243461364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33889 + ... + 40439.

It is an arithmetic number, because the mean of its divisors is an integer number (12536160).

Almost surely, 2243461364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243461364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300867840).

243461364 is an abundant number, since it is smaller than the sum of its proper divisors (358274316).

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

243461364 is a wasteful number, since it uses less digits than its factorization.

243461364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 243461364 is about 15603.2485079230. The cubic root of 243461364 is about 624.4198255495.

The spelling of 243461364 in words is "two hundred forty-three million, four hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 326 489 652 978 1956 3097 6194 6551 9291 12388 13102 18582 19653 26204 37164 39306 78612 124469 248938 373407 497876 746814 1067813 1493628 2135626 3203439 4271252 6406878 12813756 20288447 40576894 60865341 81153788 121730682 243461364