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2380077336 = 2337137115349
BaseRepresentation
bin1000110111011101…
…0001100100011000
320010212112110022110
42031313101210120
514333244433321
61032101152320
7112660215660
oct21567214430
96125473273
102380077336
11101154536a
125650bb6a0
132bc1317b0
141881551a0
15dde3d176
hex8ddd1918

2380077336 has 128 divisors (see below), whose sum is σ = 7426944000. Its totient is φ = 618831360.

The previous prime is 2380077317. The next prime is 2380077377. The reversal of 2380077336 is 6337700832.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2380077294 and 2380077303.

It is a congruent number.

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, 147390 + ... + 162738.

It is an arithmetic number, because the mean of its divisors is an integer number (58023000).

Almost surely, 22380077336 is an apocalyptic number.

2380077336 is a gapful number since it is divisible by the number (26) 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 2380077336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713472000).

2380077336 is an abundant number, since it is smaller than the sum of its proper divisors (5046866664).

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

2380077336 is a wasteful number, since it uses less digits than its factorization.

2380077336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15449 (or 15445 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 2380077336 is about 48786.0362808868. The cubic root of 2380077336 is about 1335.1509105728.

The spelling of 2380077336 in words is "two billion, three hundred eighty million, seventy-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1092 1491 1704 1846 1988 2184 2769 2982 3692 3976 5538 5964 6461 7384 11076 11928 12922 15349 19383 22152 25844 30698 38766 46047 51688 61396 77532 92094 107443 122792 155064 184188 199537 214886 322329 368376 399074 429772 598611 644658 798148 859544 1089779 1197222 1289316 1396759 1596296 2179558 2394444 2578632 2793518 3269337 4190277 4359116 4788888 5587036 6538674 7628453 8380554 8718232 11174072 13077348 14167127 15256906 16761108 22885359 26154696 28334254 30513812 33522216 42501381 45770718 56668508 61027624 85002762 91541436 99169889 113337016 170005524 183082872 198339778 297509667 340011048 396679556 595019334 793359112 1190038668 2380077336