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342543240 = 2332513531381
BaseRepresentation
bin10100011010101…
…100101110001000
3212212112222222200
4110122230232020
51200142340430
653553520200
711326366224
oct2432545610
9785488880
10342543240
111663a1896
1296873060
1355c75110
14336c9784
1520114460
hex146acb88

342543240 has 192 divisors, whose sum is σ = 1222406640. Its totient is φ = 82667520.

The previous prime is 342543197. The next prime is 342543247. The reversal of 342543240 is 42345243.

It can be written as a sum of positive squares in 8 ways, for example, as 112656996 + 229886244 = 10614^2 + 15162^2 .

It is not an unprimeable number, because it can be changed into a prime (342543247) 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 47 ways as a sum of consecutive naturals, for example, 247350 + ... + 248730.

Almost surely, 2342543240 is an apocalyptic number.

342543240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611203320).

342543240 is an abundant number, since it is smaller than the sum of its proper divisors (879863400).

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

342543240 is a wasteful number, since it uses less digits than its factorization.

342543240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 342543240 is about 18507.9237085093. The cubic root of 342543240 is about 699.6891408843.

Adding to 342543240 its reverse (42345243), we get a palindrome (384888483).

It can be divided in two parts, 3425 and 43240, that added together give a triangular number (46665 = T305).

The spelling of 342543240 in words is "three hundred forty-two million, five hundred forty-three thousand, two hundred forty".