Search a number
-
+
2340243360 = 253357135953
BaseRepresentation
bin1000101101111101…
…0100011110100000
320001002120200101000
42023133110132200
514243100241420
61024115312000
7111664511640
oct21337243640
96032520330
102340243360
11aa1008524
125538ab600
132b3ac56b0
14182b46520
15da6c0690
hex8b7d47a0

2340243360 has 384 divisors, whose sum is σ = 10082741760. Its totient is φ = 493682688.

The previous prime is 2340243329. The next prime is 2340243361. The reversal of 2340243360 is 633420432.

It is a happy number.

2340243360 is a `hidden beast` number, since 23 + 40 + 243 + 360 = 666.

2340243360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2340243361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390144 + ... + 396096.

It is an arithmetic number, because the mean of its divisors is an integer number (26257140).

Almost surely, 22340243360 is an apocalyptic number.

2340243360 is a gapful number since it is divisible by the number (20) 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 2340243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041370880).

2340243360 is an abundant number, since it is smaller than the sum of its proper divisors (7742498400).

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

2340243360 is a wasteful number, since it uses less digits than its factorization.

2340243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2340243360 is about 48376.0618488111. The cubic root of 2340243360 is about 1327.6604166320.

Adding to 2340243360 its reverse (633420432), we get a palindrome (2973663792).

The spelling of 2340243360 in words is "two billion, three hundred forty million, two hundred forty-three thousand, three hundred sixty".