Search a number
-
+
2395429340 = 225537333083
BaseRepresentation
bin1000111011000111…
…0101100111011100
320011221102102022012
42032301311213130
514401212214330
61033410210352
7113234546003
oct21661654734
96157372265
102395429340
11101a180577
1256a2839b8
132c2378415
1418a1cdc3a
15e0471c95
hex8ec759dc

2395429340 has 48 divisors (see below), whose sum is σ = 5133971808. Its totient is φ = 938505984.

The previous prime is 2395429331. The next prime is 2395429349. The reversal of 2395429340 is 439245932.

It is an interprime number because it is at equal distance from previous prime (2395429331) and next prime (2395429349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2395429349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775439 + ... + 778521.

It is an arithmetic number, because the mean of its divisors is an integer number (106957746).

Almost surely, 22395429340 is an apocalyptic number.

2395429340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2395429340 is an abundant number, since it is smaller than the sum of its proper divisors (2738542468).

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

2395429340 is a wasteful number, since it uses less digits than its factorization.

2395429340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 2395429340 is about 48943.1235210831. The cubic root of 2395429340 is about 1338.0154293762.

The spelling of 2395429340 in words is "two billion, three hundred ninety-five million, four hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 733 1060 1466 2932 3083 3665 6166 7330 12332 14660 15415 30830 38849 61660 77698 155396 163399 194245 326798 388490 653596 776980 816995 1633990 2259839 3267980 4519678 9039356 11299195 22598390 45196780 119771467 239542934 479085868 598857335 1197714670 2395429340