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2306402340 = 2235117183593
BaseRepresentation
bin1000100101111000…
…1110100000100100
312221201220101012220
42021132032200210
514210414333330
61020510112340
7111104045034
oct21136164044
95851811186
102306402340
11a839a4240
125444ab6b0
132a9aa7318
1417c4578c4
15d7738710
hex8978e824

2306402340 has 192 divisors, whose sum is σ = 7242504192. Its totient is φ = 543692800.

The previous prime is 2306402339. The next prime is 2306402389. The reversal of 2306402340 is 432046032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2306402340.

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 63 ways as a sum of consecutive naturals, for example, 3889084 + ... + 3889676.

It is an arithmetic number, because the mean of its divisors is an integer number (37721376).

Almost surely, 22306402340 is an apocalyptic number.

2306402340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621252096).

2306402340 is an abundant number, since it is smaller than the sum of its proper divisors (4936101852).

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

2306402340 is a wasteful number, since it uses less digits than its factorization.

2306402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2306402340 is about 48025.0178552804. The cubic root of 2306402340 is about 1321.2297882459.

Adding to 2306402340 its reverse (432046032), we get a palindrome (2738448372).

The spelling of 2306402340 in words is "two billion, three hundred six million, four hundred two thousand, three hundred forty".