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2312540046 = 2321931593697
BaseRepresentation
bin1000100111010110…
…1000111110001110
312222011110012120100
42021311220332032
514214002240141
61021245431530
7111210160155
oct21165507616
95864405510
102312540046
11a87406623
1254656b5a6
132ab145bbb
1417d1b459c
15d804c0b6
hex89d68f8e

2312540046 has 96 divisors (see below), whose sum is σ = 5538124800. Its totient is φ = 694552320.

The previous prime is 2312540029. The next prime is 2312540101. The reversal of 2312540046 is 6400452132.

2312540046 is a `hidden beast` number, since 231 + 25 + 400 + 4 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 623670 + ... + 627366.

It is an arithmetic number, because the mean of its divisors is an integer number (57688800).

Almost surely, 22312540046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312540046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769062400).

2312540046 is an abundant number, since it is smaller than the sum of its proper divisors (3225584754).

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

2312540046 is a wasteful number, since it uses less digits than its factorization.

2312540046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2312540046 is about 48088.8765308569. The cubic root of 2312540046 is about 1322.4007515068.

Adding to 2312540046 its reverse (6400452132), we get a palindrome (8712992178).

The spelling of 2312540046 in words is "two billion, three hundred twelve million, five hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 59 62 93 114 118 171 177 186 279 342 354 531 558 589 1062 1121 1178 1767 1829 2242 3363 3534 3658 3697 5301 5487 6726 7394 10089 10602 10974 11091 16461 20178 22182 32922 33273 34751 66546 69502 70243 104253 114607 140486 208506 210729 218123 229214 312759 343821 421458 436246 625518 632187 654369 687642 1031463 1264374 1308738 1963107 2062926 2177533 3926214 4144337 4355066 6532599 6761813 8288674 12433011 13065198 13523626 19597797 20285439 24866022 37299033 39195594 40570878 60856317 74598066 121712634 128474447 256948894 385423341 770846682 1156270023 2312540046