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240231424 = 210379619
BaseRepresentation
bin11100101000110…
…10010000000000
3121202001000120011
432110122100000
5442444401144
635500554304
75644635106
oct1624322000
9552030504
10240231424
11113671474
1268552994
133aa02294
1423c95c76
1516154a34
hexe51a400

240231424 has 44 divisors (see below), whose sum is σ = 482273200. Its totient is φ = 119605248.

The previous prime is 240231391. The next prime is 240231427. The reversal of 240231424 is 424132042.

It is a happy number.

It is a super-2 number, since 2×2402314242 = 115422274154135552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240231395 and 240231404.

It is not an unprimeable number, because it can be changed into a prime (240231427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 387787 + ... + 388405.

Almost surely, 2240231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241136600).

240231424 is an abundant number, since it is smaller than the sum of its proper divisors (242041776).

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

240231424 is an equidigital number, since it uses as much as digits as its factorization.

240231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 240231424 is about 15499.4007626101. The cubic root of 240231424 is about 621.6461837375.

Adding to 240231424 its reverse (424132042), we get a palindrome (664363466).

The spelling of 240231424 in words is "two hundred forty million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 379 512 619 758 1024 1238 1516 2476 3032 4952 6064 9904 12128 19808 24256 39616 48512 79232 97024 158464 194048 234601 316928 388096 469202 633856 938404 1876808 3753616 7507232 15014464 30028928 60057856 120115712 240231424