Search a number
-
+
2315416340 = 225373128941
BaseRepresentation
bin1000101000000010…
…0111001100010100
312222100212100002202
42022000213030110
514220221310330
61021431224032
7111243466646
oct21200471424
95870770082
102315416340
11a88aa0626
12547518018
132ab912153
1417d722896
15d8419445
hex8a027314

2315416340 has 24 divisors (see below), whose sum is σ = 4993791432. Its totient is φ = 901134720.

The previous prime is 2315416291. The next prime is 2315416357. The reversal of 2315416340 is 436145132.

It can be written as a sum of positive squares in 4 ways, for example, as 427166224 + 1888250116 = 20668^2 + 43454^2 .

It is a super-2 number, since 2×23154163402 = 10722305655077991200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563731 + ... + 1565210.

It is an arithmetic number, because the mean of its divisors is an integer number (208074643).

Almost surely, 22315416340 is an apocalyptic number.

2315416340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315416340 is an abundant number, since it is smaller than the sum of its proper divisors (2678375092).

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

2315416340 is a wasteful number, since it uses less digits than its factorization.

2315416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128987 (or 3128985 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2315416340 is about 48118.7732595086. The cubic root of 2315416340 is about 1322.9487834552.

The spelling of 2315416340 in words is "two billion, three hundred fifteen million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3128941 6257882 12515764 15644705 31289410 62578820 115770817 231541634 463083268 578854085 1157708170 2315416340