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2303342130 = 2352337831087
BaseRepresentation
bin1000100101001010…
…0011011000110010
312221112010220101210
42021102203120302
514204123422010
61020320340550
7111036041115
oct21122433062
95845126353
102303342130
11a821a4041
12543474756
132a927544b
1417bc9c57c
15d7331b20
hex894a3632

2303342130 has 128 divisors (see below), whose sum is σ = 6001164288. Its totient is φ = 564233472.

The previous prime is 2303342117. The next prime is 2303342131. The reversal of 2303342130 is 312433032.

It is a junction number, because it is equal to n+sod(n) for n = 2303342097 and 2303342106.

It is not an unprimeable number, because it can be changed into a prime (2303342131) by changing a digit.

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, 2118447 + ... + 2119533.

It is an arithmetic number, because the mean of its divisors is an integer number (46884096).

Almost surely, 22303342130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000582144).

2303342130 is an abundant number, since it is smaller than the sum of its proper divisors (3697822158).

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

2303342130 is a wasteful number, since it uses less digits than its factorization.

2303342130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2303342130 is about 47993.1466982527. The cubic root of 2303342130 is about 1320.6451793228.

Adding to 2303342130 its reverse (312433032), we get a palindrome (2615775162).

The spelling of 2303342130 in words is "two billion, three hundred three million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 83 111 115 138 166 185 222 230 249 345 370 415 498 555 690 830 851 1087 1110 1245 1702 1909 2174 2490 2553 3071 3261 3818 4255 5106 5435 5727 6142 6522 8510 9213 9545 10870 11454 12765 15355 16305 18426 19090 25001 25530 28635 30710 32610 40219 46065 50002 57270 70633 75003 80438 90221 92130 120657 125005 141266 150006 180442 201095 211899 241314 250010 270663 353165 375015 402190 423798 451105 541326 603285 706330 750030 902210 925037 1059495 1206570 1353315 1850074 2075083 2118990 2706630 2775111 3338177 4150166 4625185 5550222 6225249 6676354 9250370 10014531 10375415 12450498 13875555 16690885 20029062 20750830 27751110 31126245 33381770 50072655 62252490 76778071 100145310 153556142 230334213 383890355 460668426 767780710 1151671065 2303342130