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243909342 = 232231274639
BaseRepresentation
bin11101000100111…
…00001011011110
3121222221212201100
432202130023132
5444420044332
640111453530
76021123645
oct1642341336
9558855640
10243909342
11115753776
12698272a6
133b6bc371
142457235c
151662e67c
hexe89c2de

243909342 has 48 divisors (see below), whose sum is σ = 555909120. Its totient is φ = 77139216.

The previous prime is 243909307. The next prime is 243909349.

243909342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2439093422 = 118983534229745928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243909297 and 243909306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243909349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50259 + ... + 54897.

It is an arithmetic number, because the mean of its divisors is an integer number (11581440).

Almost surely, 2243909342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243909342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277954560).

243909342 is an abundant number, since it is smaller than the sum of its proper divisors (311999778).

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

243909342 is a wasteful number, since it uses less digits than its factorization.

243909342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 243909342 is about 15617.5971903491. The cubic root of 243909342 is about 624.8025761514.

The spelling of 243909342 in words is "two hundred forty-three million, nine hundred nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 762 1143 2286 2921 4639 5842 8763 9278 13917 17526 26289 27834 41751 52578 83502 106697 213394 320091 589153 640182 960273 1178306 1767459 1920546 3534918 5302377 10604754 13550519 27101038 40651557 81303114 121954671 243909342