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240023412 = 22347271019
BaseRepresentation
bin11100100111001…
…11011101110100
3121201122110020000
432103213131310
5442421222122
635452311300
75643110466
oct1623473564
9551573200
10240023412
1111353a162
1268472530
133a95b6b5
1423c40136
15161130ac
hexe4e7774

240023412 has 60 divisors (see below), whose sum is σ = 628948320. Its totient is φ = 79819344.

The previous prime is 240023347. The next prime is 240023417. The reversal of 240023412 is 214320042.

It is a super-2 number, since 2×2400234122 = 115222476616243488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240023417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235039 + ... + 236057.

It is an arithmetic number, because the mean of its divisors is an integer number (10482472).

Almost surely, 2240023412 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 240023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314474160).

240023412 is an abundant number, since it is smaller than the sum of its proper divisors (388924908).

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

240023412 is a wasteful number, since it uses less digits than its factorization.

240023412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240023412 is about 15492.6889854538. The cubic root of 240023412 is about 621.4667079025.

Adding to 240023412 its reverse (214320042), we get a palindrome (454343454).

The spelling of 240023412 in words is "two hundred forty million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 727 1019 1454 2038 2181 2908 3057 4076 4362 6114 6543 8724 9171 12228 13086 18342 19629 26172 27513 36684 39258 55026 58887 78516 82539 110052 117774 165078 235548 330156 740813 1481626 2222439 2963252 4444878 6667317 8889756 13334634 20001951 26669268 40003902 60005853 80007804 120011706 240023412