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243907344 = 24327092389
BaseRepresentation
bin11101000100110…
…11101100010000
3121222221202222100
432202123230100
5444420013334
640111440400
76021115062
oct1642335420
9558852870
10243907344
1111575221a
1269826100
133b6bb495
1424571732
151662dc99
hexe89bb10

243907344 has 60 divisors (see below), whose sum is σ = 683850700. Its totient is φ = 81153792.

The previous prime is 243907343. The next prime is 243907361. The reversal of 243907344 is 443709342.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 200505600 = 6588^2 + 14160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243907299 and 243907308.

It is not an unprimeable number, because it can be changed into a prime (243907343) 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 11 ways as a sum of consecutive naturals, for example, 100902 + ... + 103290.

Almost surely, 2243907344 is an apocalyptic number.

243907344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243907344 is an abundant number, since it is smaller than the sum of its proper divisors (439943356).

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

243907344 is a wasteful number, since it uses less digits than its factorization.

243907344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 243907344 is about 15617.5332239122. The cubic root of 243907344 is about 624.8008701091.

The spelling of 243907344 in words is "two hundred forty-three million, nine hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 709 1418 2127 2389 2836 4254 4778 5672 6381 7167 8508 9556 11344 12762 14334 17016 19112 21501 25524 28668 34032 38224 43002 51048 57336 86004 102096 114672 172008 344016 1693801 3387602 5081403 6775204 10162806 13550408 15244209 20325612 27100816 30488418 40651224 60976836 81302448 121953672 243907344