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243131424 = 2535694451
BaseRepresentation
bin11100111110111…
…10010000100000
3121221111100121120
432133132100200
5444220201144
640043052240
76011403654
oct1637362040
9557440546
10243131424
11115272268
1269511080
133b4a9263
142440ca64
1516528e19
hexe7de420

243131424 has 48 divisors (see below), whose sum is σ = 639485280. Its totient is φ = 80883200.

The previous prime is 243131407. The next prime is 243131437. The reversal of 243131424 is 424131342.

243131424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2431314242 = 118225778672535552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243131394 and 243131403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52399 + ... + 56849.

It is an arithmetic number, because the mean of its divisors is an integer number (13322610).

Almost surely, 2243131424 is an apocalyptic number.

243131424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243131424 is an abundant number, since it is smaller than the sum of its proper divisors (396353856).

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

243131424 is a wasteful number, since it uses less digits than its factorization.

243131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5025 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 243131424 is about 15592.6721250721. The cubic root of 243131424 is about 624.1376257911.

Adding to 243131424 its reverse (424131342), we get a palindrome (667262766).

The spelling of 243131424 in words is "two hundred forty-three million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 569 1138 1707 2276 3414 4451 4552 6828 8902 9104 13353 13656 17804 18208 26706 27312 35608 53412 54624 71216 106824 142432 213648 427296 2532619 5065238 7597857 10130476 15195714 20260952 30391428 40521904 60782856 81043808 121565712 243131424