Search a number
-
+
2341540656 = 2433721367127
BaseRepresentation
bin1000101110010001…
…0001001100110000
320001012000120221000
42023210101030300
514243413300111
61024203202000
7112011524100
oct21344211460
96035016830
102341540656
11aa1814174
12554216300
132b415b020
14182da3200
15da879c56
hex8b911330

2341540656 has 480 divisors, whose sum is σ = 8612782080. Its totient is φ = 603542016.

The previous prime is 2341540633. The next prime is 2341540657. The reversal of 2341540656 is 6560451432.

2341540656 is a `hidden beast` number, since 23 + 41 + 540 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2341540656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341540657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18437265 + ... + 18437391.

It is an arithmetic number, because the mean of its divisors is an integer number (17943296).

Almost surely, 22341540656 is an apocalyptic number.

2341540656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306391040).

2341540656 is an abundant number, since it is smaller than the sum of its proper divisors (6271241424).

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

2341540656 is a wasteful number, since it uses less digits than its factorization.

2341540656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2341540656 is about 48389.4684409738. The cubic root of 2341540656 is about 1327.9056974455.

It can be divided in two parts, 234 and 1540656, that added together give a triangular number (1540890 = T1755).

The spelling of 2341540656 in words is "two billion, three hundred forty-one million, five hundred forty thousand, six hundred fifty-six".