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2433253240 = 23511193141229
BaseRepresentation
bin1001000100001000…
…0111111101111000
320021120121001221101
42101002013331320
514440403100430
61041241021144
7114204211525
oct22102077570
96246531841
102433253240
1110395651a0
1257aa847b4
132ca15c622
1419123814c
15e3943dca
hex91087f78

2433253240 has 256 divisors, whose sum is σ = 6676992000. Its totient is φ = 787968000.

The previous prime is 2433253223. The next prime is 2433253243. The reversal of 2433253240 is 423523342.

It is a junction number, because it is equal to n+sod(n) for n = 2433253199 and 2433253208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433253243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10625446 + ... + 10625674.

It is an arithmetic number, because the mean of its divisors is an integer number (26082000).

Almost surely, 22433253240 is an apocalyptic number.

2433253240 is a gapful number since it is divisible by the number (20) 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 2433253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496000).

2433253240 is an abundant number, since it is smaller than the sum of its proper divisors (4243738760).

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

2433253240 is a wasteful number, since it uses less digits than its factorization.

2433253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 2433253240 is about 49328.0167855956. The cubic root of 2433253240 is about 1345.0211187795.

Adding to 2433253240 its reverse (423523342), we get a palindrome (2856776582).

The spelling of 2433253240 in words is "two billion, four hundred thirty-three million, two hundred fifty-three thousand, two hundred forty".