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243132340 = 225117315139
BaseRepresentation
bin11100111110111…
…10011110110100
3121221111101212111
432133132132310
5444220213330
640043100404
76011406433
oct1637363664
9557441774
10243132340
11115272a20
1269511704
133b4a97b9
142440d11a
151652932a
hexe7de7b4

243132340 has 48 divisors (see below), whose sum is σ = 564661440. Its totient is φ = 87194880.

The previous prime is 243132319. The next prime is 243132361. The reversal of 243132340 is 43231342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243132319) and next prime (243132361).

It is a super-2 number, since 2×2431323402 = 118226669507751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8491 + ... + 23629.

It is an arithmetic number, because the mean of its divisors is an integer number (11763780).

Almost surely, 2243132340 is an apocalyptic number.

243132340 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 243132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282330720).

243132340 is an abundant number, since it is smaller than the sum of its proper divisors (321529100).

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

243132340 is a wasteful number, since it uses less digits than its factorization.

243132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 243132340 is about 15592.7014978162. The cubic root of 243132340 is about 624.1384096050.

Adding to 243132340 its reverse (43231342), we get a palindrome (286363682).

The spelling of 243132340 in words is "two hundred forty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 15139 16060 30278 60556 75695 151390 166529 302780 333058 666116 832645 1105147 1665290 2210294 3330580 4420588 5525735 11051470 12156617 22102940 24313234 48626468 60783085 121566170 243132340