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842043240 = 233254189641
BaseRepresentation
bin110010001100001…
…000111101101000
32011200110020011200
4302030020331220
53211030340430
6215315524200
726603151363
oct6214107550
92150406150
10842043240
113a2347605
121b5bb9660
131055b374c
147db910da
154ddce460
hex32308f68

842043240 has 192 divisors, whose sum is σ = 2839309200. Its totient is φ = 216268800.

The previous prime is 842043233. The next prime is 842043259. The reversal of 842043240 is 42340248.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 193933476 + 648109764 = 13926^2 + 25458^2 .

It is an unprimeable number.

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, 1313320 + ... + 1313960.

Almost surely, 2842043240 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 842043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419654600).

842043240 is an abundant number, since it is smaller than the sum of its proper divisors (1997265960).

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

842043240 is a wasteful number, since it uses less digits than its factorization.

842043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 842043240 is about 29017.9813219321. The cubic root of 842043240 is about 944.3032068483.

Adding to 842043240 its reverse (42340248), we get a palindrome (884383488).

The spelling of 842043240 in words is "eight hundred forty-two million, forty-three thousand, two hundred forty".