Search a number
-
+
2303870940 = 22325717591823
BaseRepresentation
bin1000100101010010…
…0100011111011100
312221120010202210100
42021110210133130
514204242332230
61020335541100
7111043402620
oct21124443734
95846122710
102303870940
11a82525378
1254368a790
132a93cc057
1417bd99180
15d73d8660
hex895247dc

2303870940 has 288 divisors, whose sum is σ = 8604610560. Its totient is φ = 486955008.

The previous prime is 2303870861. The next prime is 2303870941. The reversal of 2303870940 is 490783032.

2303870940 is a `hidden beast` number, since 230 + 387 + 0 + 9 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2303870895 and 2303870904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303870941) 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, 1262869 + ... + 1264691.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 22303870940 is an apocalyptic number.

2303870940 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 2303870940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2303870940 is an abundant number, since it is smaller than the sum of its proper divisors (6300739620).

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

2303870940 is a wasteful number, since it uses less digits than its factorization.

2303870940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2303870940 is about 47998.6556061730. The cubic root of 2303870940 is about 1320.7462378282.

The spelling of 2303870940 in words is "two billion, three hundred three million, eight hundred seventy thousand, nine hundred forty".