Search a number
-
+
2304215040 = 21135107701
BaseRepresentation
bin1000100101010111…
…1000100000000000
312221120210020210210
42021111320200000
514204334340130
61020351154120
7111046335051
oct21125704000
95846706723
102304215040
11a8273a956
12543815940
132a94bc86a
1417c048728
15d74555b0
hex89578800

2304215040 has 192 divisors, whose sum is σ = 7451196480. Its totient is φ = 607846400.

The previous prime is 2304215021. The next prime is 2304215057. The reversal of 2304215040 is 405124032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2304214998 and 2304215016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286690 + ... + 3287390.

It is an arithmetic number, because the mean of its divisors is an integer number (38808315).

Almost surely, 22304215040 is an apocalyptic number.

2304215040 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 2304215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725598240).

2304215040 is an abundant number, since it is smaller than the sum of its proper divisors (5146981440).

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

2304215040 is a wasteful number, since it uses less digits than its factorization.

2304215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2304215040 is about 48002.2399477358. The cubic root of 2304215040 is about 1320.8119889297.

Adding to 2304215040 its reverse (405124032), we get a palindrome (2709339072).

The spelling of 2304215040 in words is "two billion, three hundred four million, two hundred fifteen thousand, forty".