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243040842 = 232112151739
BaseRepresentation
bin11100111110010…
…00001001001010
3121221022202100200
432133020021022
5444204301332
640041113030
76010545612
oct1637101112
9557282320
10243040842
11115210200
1269488776
133b476c65
14243c7a42
151650c17c
hexe7c824a

243040842 has 72 divisors (see below), whose sum is σ = 583433760. Its totient is φ = 73062000.

The previous prime is 243040841. The next prime is 243040843. The reversal of 243040842 is 248040342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243040841) and next prime (243040843).

It is not an unprimeable number, because it can be changed into a prime (243040841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 328509 + ... + 329247.

Almost surely, 2243040842 is an apocalyptic number.

243040842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243040842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291716880).

243040842 is an abundant number, since it is smaller than the sum of its proper divisors (340392918).

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

243040842 is a wasteful number, since it uses less digits than its factorization.

243040842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 243040842 is about 15589.7672208407. The cubic root of 243040842 is about 624.0601057733.

The spelling of 243040842 in words is "two hundred forty-three million, forty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 151 198 242 302 363 453 726 739 906 1089 1359 1478 1661 2178 2217 2718 3322 4434 4983 6651 8129 9966 13302 14949 16258 18271 24387 29898 36542 48774 54813 73161 89419 109626 111589 146322 164439 178838 223178 268257 328878 334767 536514 669534 804771 1004301 1227479 1609542 2008602 2454958 3682437 7364874 11047311 13502269 22094622 27004538 40506807 81013614 121520421 243040842