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2300132340 = 22325111161683
BaseRepresentation
bin1000100100011001…
…0011101111110100
312221022002211101200
42021012103233310
514202313213330
61020123452500
7110666542122
oct21106235764
95838084350
102300132340
11a80401520
12542387130
132a86c046c
1417b6a4912
15d6deaa60
hex89193bf4

2300132340 has 72 divisors (see below), whose sum is σ = 7611353568. Its totient is φ = 557607360.

The previous prime is 2300132297. The next prime is 2300132347. The reversal of 2300132340 is 432310032.

2300132340 is a `hidden beast` number, since 2 + 300 + 1 + 323 + 40 = 666.

2300132340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300132347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578862 + ... + 582821.

It is an arithmetic number, because the mean of its divisors is an integer number (105713244).

Almost surely, 22300132340 is an apocalyptic number.

2300132340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300132340 is an abundant number, since it is smaller than the sum of its proper divisors (5311221228).

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

2300132340 is a wasteful number, since it uses less digits than its factorization.

2300132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161709 (or 1161704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2300132340 is about 47959.6949531583. The cubic root of 2300132340 is about 1320.0314386452.

Adding to 2300132340 its reverse (432310032), we get a palindrome (2732442372).

The spelling of 2300132340 in words is "two billion, three hundred million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1161683 2323366 3485049 4646732 5808415 6970098 10455147 11616830 12778513 13940196 17425245 20910294 23233660 25557026 34850490 38335539 41820588 51114052 52275735 63892565 69700980 76671078 104551470 115006617 127785130 153342156 191677695 209102940 230013234 255570260 383355390 460026468 575033085 766710780 1150066170 2300132340