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2312379540 = 2232517097517
BaseRepresentation
bin1000100111010100…
…0001110010010100
312222011011001101200
42021311001302110
514213432121130
61021242152500
7111205621212
oct21165016224
95864131350
102312379540
11a87306a79
125464b2730
132ab0bab23
1417d171cb2
15d8019760
hex89d41c94

2312379540 has 72 divisors (see below), whose sum is σ = 7019255880. Its totient is φ = 616191744.

The previous prime is 2312379539. The next prime is 2312379581. The reversal of 2312379540 is 459732132.

2312379540 is a `hidden beast` number, since 23 + 1 + 23 + 79 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382358916 + 1930020624 = 19554^2 + 43932^2 .

It is a super-2 number, since 2×23123795402 = 10694198274021223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2312379495 and 2312379504.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 303862 + ... + 311378.

It is an arithmetic number, because the mean of its divisors is an integer number (97489665).

Almost surely, 22312379540 is an apocalyptic number.

2312379540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312379540 is an abundant number, since it is smaller than the sum of its proper divisors (4706876340).

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

2312379540 is a wasteful number, since it uses less digits than its factorization.

2312379540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2312379540 is about 48087.2076544272. The cubic root of 2312379540 is about 1322.3701562649.

The spelling of 2312379540 in words is "two billion, three hundred twelve million, three hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1709 3418 5127 6836 7517 8545 10254 15034 15381 17090 20508 22551 25635 30068 30762 34180 37585 45102 51270 61524 67653 75170 76905 90204 102540 112755 135306 150340 153810 225510 270612 307620 338265 451020 676530 1353060 12846553 25693106 38539659 51386212 64232765 77079318 115618977 128465530 154158636 192698295 231237954 256931060 385396590 462475908 578094885 770793180 1156189770 2312379540