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2302434140 = 225438393191
BaseRepresentation
bin1000100100111100…
…0101101101011100
312221110102202212112
42021033011231130
514203410343030
61020245053152
7111025236656
oct21117055534
95843382775
102302434140
11a81733936
125430b71b8
132a9018086
1417bb036d6
15d7202a95
hex893c5b5c

2302434140 has 48 divisors (see below), whose sum is σ = 4955005440. Its totient is φ = 898201920.

The previous prime is 2302434133. The next prime is 2302434161. The reversal of 2302434140 is 414342032.

2302434140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719945 + ... + 723135.

It is an arithmetic number, because the mean of its divisors is an integer number (103229280).

Almost surely, 22302434140 is an apocalyptic number.

2302434140 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 2302434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477502720).

2302434140 is an abundant number, since it is smaller than the sum of its proper divisors (2652571300).

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

2302434140 is a wasteful number, since it uses less digits than its factorization.

2302434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2302434140 is about 47983.6861860362. The cubic root of 2302434140 is about 1320.4716213432.

Adding to 2302434140 its reverse (414342032), we get a palindrome (2716776172).

The spelling of 2302434140 in words is "two billion, three hundred two million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 839 860 1678 3191 3356 4195 6382 8390 12764 15955 16780 31910 36077 63820 72154 137213 144308 180385 274426 360770 548852 686065 721540 1372130 2677249 2744260 5354498 10708996 13386245 26772490 53544980 115121707 230243414 460486828 575608535 1151217070 2302434140