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2304040000 = 265457601
BaseRepresentation
bin1000100101010100…
…1101110001000000
312221120110100200211
42021111031301000
514204313240000
61020343323504
7111045005533
oct21125156100
95846410624
102304040000
11a82630399
12543750594
132a945aca2
1417c000a1a
15d741d7ba
hex8954dc40

2304040000 has 70 divisors (see below), whose sum is σ = 5713369574. Its totient is φ = 921600000.

The previous prime is 2304039979. The next prime is 2304040007. The reversal of 2304040000 is 404032.

It can be written as a sum of positive squares in 5 ways, for example, as 185831424 + 2118208576 = 13632^2 + 46024^2 .

It is not an unprimeable number, because it can be changed into a prime (2304040007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11200 + ... + 68800.

Almost surely, 22304040000 is an apocalyptic number.

2304040000 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 2304040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856684787).

2304040000 is an abundant number, since it is smaller than the sum of its proper divisors (3409329574).

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

2304040000 is an frugal number, since it uses more digits than its factorization.

2304040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57633 (or 57608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2304040000 is about 48000.4166648582. The cubic root of 2304040000 is about 1320.7785428637.

Adding to 2304040000 its reverse (404032), we get a palindrome (2304444032).

The spelling of 2304040000 in words is "two billion, three hundred four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 57601 115202 230404 288005 460808 576010 921616 1152020 1440025 1843232 2304040 2880050 3686464 4608080 5760100 7200125 9216160 11520200 14400250 18432320 23040400 28800500 36000625 46080800 57601000 72001250 92161600 115202000 144002500 230404000 288005000 460808000 576010000 1152020000 2304040000