Search a number
-
+
240839361 = 32727392
BaseRepresentation
bin11100101101011…
…10101011000001
3121210011220111100
432112232223001
5443123324421
635522005013
75653046400
oct1626565301
9553156440
10240839361
11113a471a4
12687a6769
133ab85bc9
1423db3637
1516224c26
hexe5aeac1

240839361 has 27 divisors (see below), whose sum is σ = 405224001. Its totient is φ = 137436264.

The previous prime is 240839359. The next prime is 240839381. The reversal of 240839361 is 163938042.

The square root of 240839361 is 15519.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 240839361 - 21 = 240839359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240839311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 325530 + ... + 326268.

Almost surely, 2240839361 is an apocalyptic number.

240839361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240839361 is the 15519-th square number.

240839361 is the 7760-th centered octagonal number.

It is an amenable number.

240839361 is a deficient number, since it is larger than the sum of its proper divisors (164384640).

240839361 is an frugal number, since it uses more digits than its factorization.

240839361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 240839361 is about 622.1701276409.

Multiplying 240839361 by its sum of digits (36), we get a square (8670216996 = 931142).

The spelling of 240839361 in words is "two hundred forty million, eight hundred thirty-nine thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 739 2217 5173 6651 15519 36211 46557 108633 325899 546121 1638363 3822847 4915089 11468541 26759929 34405623 80279787 240839361