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2338563840 = 28354091489
BaseRepresentation
bin1000101101100011…
…1010011100000000
320000222102100111120
42023120322130000
514242133020330
61024015312240
7111644315244
oct21330723400
96028370446
102338563840
11aa0070698
1255321b680
132b36580b2
1418282a424
15da48cc10
hex8b63a700

2338563840 has 144 divisors (see below), whose sum is σ = 7492077600. Its totient is φ = 621674496.

The previous prime is 2338563839. The next prime is 2338563853. The reversal of 2338563840 is 483658332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2338563792 and 2338563801.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1569816 + ... + 1571304.

Almost surely, 22338563840 is an apocalyptic number.

2338563840 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 2338563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746038800).

2338563840 is an abundant number, since it is smaller than the sum of its proper divisors (5153513760).

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

2338563840 is a wasteful number, since it uses less digits than its factorization.

2338563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2338563840 is about 48358.6997343808. The cubic root of 2338563840 is about 1327.3427337362.

The spelling of 2338563840 in words is "two billion, three hundred thirty-eight million, five hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 409 480 640 768 818 960 1227 1280 1489 1636 1920 2045 2454 2978 3272 3840 4090 4467 4908 5956 6135 6544 7445 8180 8934 9816 11912 12270 13088 14890 16360 17868 19632 22335 23824 24540 26176 29780 32720 35736 39264 44670 47648 49080 52352 59560 65440 71472 78528 89340 95296 98160 104704 119120 130880 142944 157056 178680 190592 196320 238240 261760 285888 314112 357360 381184 392640 476480 523520 571776 609001 714720 785280 952960 1143552 1218002 1429440 1570560 1827003 1905920 2436004 2858880 3045005 3654006 4872008 5717760 6090010 7308012 9135015 9744016 12180020 14616024 18270030 19488032 24360040 29232048 36540060 38976064 48720080 58464096 73080120 77952128 97440160 116928192 146160240 155904256 194880320 233856384 292320480 389760640 467712768 584640960 779521280 1169281920 2338563840