Search a number
-
+
2304234135 = 375730103
BaseRepresentation
bin1000100101010111…
…1101001010010111
312221120211020000000
42021111331022113
514204340443020
61020351422343
7111046444530
oct21125751227
95846736000
102304234135
11a82753235
125438249b3
132a94c8468
1417c051687
15d745b090
hex8957d297

2304234135 has 64 divisors (see below), whose sum is σ = 4739573760. Its totient is φ = 1053329184.

The previous prime is 2304234083. The next prime is 2304234137. The reversal of 2304234135 is 5314324032.

2304234135 is a `hidden beast` number, since 230 + 423 + 4 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 2304234135 - 27 = 2304234007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2304234099 and 2304234108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304234137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61494 + ... + 91596.

It is an arithmetic number, because the mean of its divisors is an integer number (74055840).

Almost surely, 22304234135 is an apocalyptic number.

2304234135 is an abundant number, since it is smaller than the sum of its proper divisors (2435339625).

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

2304234135 is an frugal number, since it uses more digits than its factorization.

2304234135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30136 (or 30118 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2304234135 is about 48002.4388442921. The cubic root of 2304234135 is about 1320.8156374369.

Adding to 2304234135 its reverse (5314324032), we get a palindrome (7618558167).

The spelling of 2304234135 in words is "two billion, three hundred four million, two hundred thirty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2187 2835 3645 5103 8505 10935 15309 25515 30103 76545 90309 150515 210721 270927 451545 632163 812781 1053605 1354635 1896489 2438343 3160815 4063905 5689467 7315029 9482445 12191715 17068401 21945087 28447335 36575145 51205203 65835261 85342005 109725435 153615609 256026015 329176305 460846827 768078045 2304234135