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2309823642 = 237237415179
BaseRepresentation
bin1000100110101101…
…0001110010011010
312221222100012100210
42021223101302122
514212303324032
61021111311550
7111145114500
oct21153216232
95858305323
102309823642
11a85920765
1254567b5b6
132aa704669
1417caa8670
15d7bb22cc
hex89ad1c9a

2309823642 has 96 divisors (see below), whose sum is σ = 5654819520. Its totient is φ = 626330880.

The previous prime is 2309823623. The next prime is 2309823661. The reversal of 2309823642 is 2463289032.

It is an interprime number because it is at equal distance from previous prime (2309823623) and next prime (2309823661).

It is a self number, because there is not a number n which added to its sum of digits gives 2309823642.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443409 + ... + 448587.

It is an arithmetic number, because the mean of its divisors is an integer number (58904370).

Almost surely, 22309823642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2309823642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827409760).

2309823642 is an abundant number, since it is smaller than the sum of its proper divisors (3344995878).

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

2309823642 is a wasteful number, since it uses less digits than its factorization.

2309823642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2309823642 is about 48060.6246526197. The cubic root of 2309823642 is about 1321.8827666585.

The spelling of 2309823642 in words is "two billion, three hundred nine million, eight hundred twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 41 42 49 74 82 98 111 123 147 222 246 259 287 294 518 574 777 861 1517 1554 1722 1813 2009 3034 3626 4018 4551 5179 5439 6027 9102 10358 10619 10878 12054 15537 21238 31074 31857 36253 63714 72506 74333 108759 148666 191623 212339 217518 222999 253771 383246 424678 445998 507542 574869 637017 761313 1149738 1274034 1341361 1486373 1522626 2682722 2972746 4024083 4459119 7856543 8048166 8918238 9389527 10404611 15713086 18779054 20809222 23569629 28168581 31213833 47139258 54995801 56337162 62427666 109991602 164987403 329974806 384970607 769941214 1154911821 2309823642