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2306818340 = 225293977273
BaseRepresentation
bin1000100101111111…
…0100000100100100
312221202200111212022
42021133310010210
514211021141330
61020523042312
7111110426621
oct21137640444
95852614768
102306818340
11a84158842
12544670398
132a9bc1788
1417c525348
15d77bbae5
hex897f4124

2306818340 has 24 divisors (see below), whose sum is σ = 5011365240. Its totient is φ = 890908928.

The previous prime is 2306818337. The next prime is 2306818343. The reversal of 2306818340 is 438186032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2306818337) and next prime (2306818343).

It can be written as a sum of positive squares in 4 ways, for example, as 628605184 + 1678213156 = 25072^2 + 40966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2306818340.

It is not an unprimeable number, because it can be changed into a prime (2306818343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1988057 + ... + 1989216.

It is an arithmetic number, because the mean of its divisors is an integer number (208806885).

Almost surely, 22306818340 is an apocalyptic number.

2306818340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306818340 is an abundant number, since it is smaller than the sum of its proper divisors (2704546900).

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

2306818340 is a wasteful number, since it uses less digits than its factorization.

2306818340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977311 (or 3977309 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2306818340 is about 48029.3487359552. The cubic root of 2306818340 is about 1321.3092191038.

The spelling of 2306818340 in words is "two billion, three hundred six million, eight hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3977273 7954546 15909092 19886365 39772730 79545460 115340917 230681834 461363668 576704585 1153409170 2306818340