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2300044040 = 235761311433
BaseRepresentation
bin1000100100010111…
…1110001100001000
312221021221100021022
42021011332030020
514202302402130
61020121532012
7110666023520
oct21105761410
95837840238
102300044040
11a80351148
12542344008
132a868c208
1417b680680
15d6dce7e5
hex8917e308

2300044040 has 128 divisors (see below), whose sum is σ = 6044613120. Its totient is φ = 771379200.

The previous prime is 2300044007. The next prime is 2300044049. The reversal of 2300044040 is 404400032.

It is not an unprimeable number, because it can be changed into a prime (2300044049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311664 + ... + 5312096.

It is an arithmetic number, because the mean of its divisors is an integer number (47223540).

Almost surely, 22300044040 is an apocalyptic number.

2300044040 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 2300044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

2300044040 is an abundant number, since it is smaller than the sum of its proper divisors (3744569080).

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

2300044040 is a wasteful number, since it uses less digits than its factorization.

2300044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2300044040 is about 47958.7743796690. The cubic root of 2300044040 is about 1320.0145468247.

Adding to 2300044040 its reverse (404400032), we get a palindrome (2704444072).

The spelling of 2300044040 in words is "two billion, three hundred million, forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 311 427 433 488 610 622 854 866 1220 1244 1555 1708 1732 2135 2165 2177 2440 2488 3031 3110 3416 3464 4270 4330 4354 6062 6220 8540 8660 8708 10885 12124 12440 15155 17080 17320 17416 18971 21770 24248 26413 30310 37942 43540 52826 60620 75884 87080 94855 105652 121240 132065 132797 134663 151768 184891 189710 211304 264130 265594 269326 369782 379420 528260 531188 538652 663985 673315 739564 758840 924455 942641 1056520 1062376 1077304 1327970 1346630 1479128 1848910 1885282 2655940 2693260 3697820 3770564 4713205 5311880 5386520 7395640 7541128 8214443 9426410 16428886 18852820 32857772 37705640 41072215 57501101 65715544 82144430 115002202 164288860 230004404 287505505 328577720 460008808 575011010 1150022020 2300044040