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2532310304 = 25232227659
BaseRepresentation
bin1001011011101111…
…1111110100100000
320112110222200200112
42112323333310200
520141232412204
61055140110452
7116516165606
oct22673776440
96473880615
102532310304
11108a472237
125a8095428
13314832b84
141a0461876
15ec4ae26e
hex96effd20

2532310304 has 72 divisors (see below), whose sum is σ = 5242572720. Its totient is φ = 1203939968.

The previous prime is 2532310283. The next prime is 2532310307. The reversal of 2532310304 is 4030132352.

It is a super-3 number, since 3×25323103043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2532310304.

It is not an unprimeable number, because it can be changed into a prime (2532310307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3842327 + ... + 3842985.

It is an arithmetic number, because the mean of its divisors is an integer number (72813510).

Almost surely, 22532310304 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 2532310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621286360).

2532310304 is an abundant number, since it is smaller than the sum of its proper divisors (2710262416).

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

2532310304 is a wasteful number, since it uses less digits than its factorization.

2532310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2532310304 is about 50322.0657763570. The cubic root of 2532310304 is about 1363.0307094412.

Adding to 2532310304 its reverse (4030132352), we get a palindrome (6562442656).

The spelling of 2532310304 in words is "two billion, five hundred thirty-two million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 227 368 454 529 659 736 908 1058 1318 1816 2116 2636 3632 4232 5221 5272 7264 8464 10442 10544 15157 16928 20884 21088 30314 41768 60628 83536 120083 121256 149593 167072 240166 242512 299186 348611 480332 485024 598372 697222 960664 1196744 1394444 1921328 2393488 2788888 3440639 3842656 4786976 5577776 6881278 11155552 13762556 27525112 55050224 79134697 110100448 158269394 316538788 633077576 1266155152 2532310304