Search a number
-
+
2301230340 = 2232512784613
BaseRepresentation
bin1000100100101001…
…1111110100000100
312221101011121120100
42021022133310010
514203103332330
61020203204100
7111012064233
oct21112376404
95841147510
102301230340
11a80a91462
12542816630
132a89b6176
1417b8acb1a
15d7066060
hex8929fd04

2301230340 has 36 divisors (see below), whose sum is σ = 6980399244. Its totient is φ = 613661376.

The previous prime is 2301230303. The next prime is 2301230341. The reversal of 2301230340 is 430321032.

2301230340 is a `hidden beast` number, since 2 + 301 + 23 + 0 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 923187456 + 1378042884 = 30384^2 + 37122^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×23012303403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2301230341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6392127 + ... + 6392486.

It is an arithmetic number, because the mean of its divisors is an integer number (193899979).

Almost surely, 22301230340 is an apocalyptic number.

2301230340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301230340 is an abundant number, since it is smaller than the sum of its proper divisors (4679168904).

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

2301230340 is a wasteful number, since it uses less digits than its factorization.

2301230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784628 (or 12784623 counting only the distinct ones).

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

The square root of 2301230340 is about 47971.1406993830. The cubic root of 2301230340 is about 1320.2414503223.

Adding to 2301230340 its reverse (430321032), we get a palindrome (2731551372).

The spelling of 2301230340 in words is "two billion, three hundred one million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12784613 25569226 38353839 51138452 63923065 76707678 115061517 127846130 153415356 191769195 230123034 255692260 383538390 460246068 575307585 767076780 1150615170 2301230340