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2300343320 = 2351117929207
BaseRepresentation
bin1000100100011100…
…0111010000011000
312221022111112210202
42021013013100120
514202341441240
61020132201332
7111001411202
oct21107072030
95838445722
102300343320
11a80535a90
12542469248
132a87654c2
1417b71b772
15d6e3d315
hex891c7418

2300343320 has 64 divisors (see below), whose sum is σ = 5678035200. Its totient is φ = 831786880.

The previous prime is 2300343247. The next prime is 2300343323. The reversal of 2300343320 is 233430032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2300343292 and 2300343301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300343323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64157 + ... + 93363.

It is an arithmetic number, because the mean of its divisors is an integer number (88719300).

Almost surely, 22300343320 is an apocalyptic number.

2300343320 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 2300343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839017600).

2300343320 is an abundant number, since it is smaller than the sum of its proper divisors (3377691880).

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

2300343320 is a wasteful number, since it uses less digits than its factorization.

2300343320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29408 (or 29404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2300343320 is about 47961.8944579965. The cubic root of 2300343320 is about 1320.0717974415.

Adding to 2300343320 its reverse (233430032), we get a palindrome (2533773352).

The spelling of 2300343320 in words is "two billion, three hundred million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 15752 19690 29207 39380 58414 78760 116828 146035 233656 292070 321277 584140 642554 1168280 1285108 1606385 2570216 3212770 5228053 6425540 10456106 12851080 20912212 26140265 41824424 52280530 57508583 104561060 115017166 209122120 230034332 287542915 460068664 575085830 1150171660 2300343320