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2179338340 = 225113964309
BaseRepresentation
bin1000000111100110…
…0001000001100100
312121212210212011211
42001321201001210
513430402311330
61000130441204
7105002033044
oct20171410144
95555725154
102179338340
11a191a8173
12509a33204
1328967901a
1416961d724
15cb4d9d2a
hex81e61064

2179338340 has 24 divisors (see below), whose sum is σ = 4617116280. Its totient is φ = 864019968.

The previous prime is 2179338331. The next prime is 2179338349. The reversal of 2179338340 is 438339712.

It is an interprime number because it is at equal distance from previous prime (2179338331) and next prime (2179338349).

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 2064248356 = 10728^2 + 45434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2179338293 and 2179338302.

It is not an unprimeable number, because it can be changed into a prime (2179338349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479895 + ... + 484414.

It is an arithmetic number, because the mean of its divisors is an integer number (192379845).

Almost surely, 22179338340 is an apocalyptic number.

2179338340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2179338340 is an abundant number, since it is smaller than the sum of its proper divisors (2437777940).

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

2179338340 is a wasteful number, since it uses less digits than its factorization.

2179338340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964431 (or 964429 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 2179338340 is about 46683.3839818837. The cubic root of 2179338340 is about 1296.5070611818.

The spelling of 2179338340 in words is "two billion, one hundred seventy-nine million, three hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 964309 1928618 3857236 4821545 9643090 19286180 108966917 217933834 435867668 544834585 1089669170 2179338340