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23435424340 = 2252774230221
BaseRepresentation
bin10101110100110111…
…000011001001010100
32020111020212220111021
4111310313003021110
5340443432034330
614433250250524
71456515551206
oct256467031124
966436786437
1023435424340
119a36760199
124660586a44
1322963546c3
1411c4674776
1592266e67a
hex574dc3254

23435424340 has 24 divisors (see below), whose sum is σ = 49392072072. Its totient is φ = 9340325760.

The previous prime is 23435424289. The next prime is 23435424343. The reversal of 23435424340 is 4342453432.

It can be written as a sum of positive squares in 4 ways, for example, as 30096196 + 23405328144 = 5486^2 + 152988^2 .

It is a super-2 number, since 2×234354243402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23435424296 and 23435424305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23435424343) 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 7 ways as a sum of consecutive naturals, for example, 2109571 + ... + 2120650.

It is an arithmetic number, because the mean of its divisors is an integer number (2058003003).

Almost surely, 223435424340 is an apocalyptic number.

23435424340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23435424340 is an abundant number, since it is smaller than the sum of its proper divisors (25956647732).

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

23435424340 is a wasteful number, since it uses less digits than its factorization.

23435424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230507 (or 4230505 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 23435424340 its reverse (4342453432), we get a palindrome (27777877772).

The spelling of 23435424340 in words is "twenty-three billion, four hundred thirty-five million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 4230221 8460442 16920884 21151105 42302210 84604420 1171771217 2343542434 4687084868 5858856085 11717712170 23435424340