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2343441000 = 233531941113
BaseRepresentation
bin1000101110101110…
…0001001001101000
320001022121010201010
42023223201021220
514244410103000
61024312023520
7112033630335
oct21353411150
96038533633
102343441000
11aa28a19aa
12554991ba0
132b4674ca4
1418333998c
15dab02d50
hex8bae1268

2343441000 has 128 divisors (see below), whose sum is σ = 7696540800. Its totient is φ = 592012800.

The previous prime is 2343440999. The next prime is 2343441013. The reversal of 2343441000 is 1443432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36444 + ... + 77556.

It is an arithmetic number, because the mean of its divisors is an integer number (60129225).

Almost surely, 22343441000 is an apocalyptic number.

2343441000 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 2343441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848270400).

2343441000 is an abundant number, since it is smaller than the sum of its proper divisors (5353099800).

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

2343441000 is a wasteful number, since it uses less digits than its factorization.

2343441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41156 (or 41142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2343441000 is about 48409.1003841220. The cubic root of 2343441000 is about 1328.2648335353.

Adding to 2343441000 its reverse (1443432), we get a palindrome (2344884432).

The spelling of 2343441000 in words is "two billion, three hundred forty-three million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 41113 57000 82226 123339 164452 205565 246678 328904 411130 493356 616695 781147 822260 986712 1027825 1233390 1562294 1644520 2055650 2343441 2466780 3083475 3124588 3905735 4111300 4686882 4933560 5139125 6166950 6249176 7811470 8222600 9373764 10278250 11717205 12333900 15417375 15622940 18747528 19528675 20556500 23434410 24667800 30834750 31245880 39057350 41113000 46868820 58586025 61669500 78114700 93737640 97643375 117172050 123339000 156229400 195286750 234344100 292930125 390573500 468688200 585860250 781147000 1171720500 2343441000