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2345323320 = 233258637549
BaseRepresentation
bin1000101111001010…
…1100101100111000
320001110010202202200
42023302230230320
514300400321240
61024420230200
7112055630214
oct21362545470
96043122680
102345323320
11aa396813a
1255553b360
132b4b839a2
141836a9944
15dad75930
hex8bcacb38

2345323320 has 96 divisors (see below), whose sum is σ = 7632144000. Its totient is φ = 624612096.

The previous prime is 2345323313. The next prime is 2345323361. The reversal of 2345323320 is 233235432.

2345323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306906 + ... + 314454.

It is an arithmetic number, because the mean of its divisors is an integer number (79501500).

Almost surely, 22345323320 is an apocalyptic number.

2345323320 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 2345323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816072000).

2345323320 is an abundant number, since it is smaller than the sum of its proper divisors (5286820680).

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

2345323320 is a wasteful number, since it uses less digits than its factorization.

2345323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 2345323320 is about 48428.5382806461. The cubic root of 2345323320 is about 1328.6203720139.

Adding to 2345323320 its reverse (233235432), we get a palindrome (2578558752).

The spelling of 2345323320 in words is "two billion, three hundred forty-five million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 863 1726 2589 3452 4315 5178 6904 7549 7767 8630 10356 12945 15098 15534 17260 20712 22647 25890 30196 31068 34520 37745 38835 45294 51780 60392 62136 67941 75490 77670 90588 103560 113235 135882 150980 155340 181176 226470 271764 301960 310680 339705 452940 543528 679410 905880 1358820 2717640 6514787 13029574 19544361 26059148 32573935 39088722 52118296 58633083 65147870 78177444 97721805 117266166 130295740 156354888 195443610 234532332 260591480 293165415 390887220 469064664 586330830 781774440 1172661660 2345323320