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2380604064 = 253137317571
BaseRepresentation
bin1000110111100101…
…0010001010100000
320010220112012211220
42031321102022200
514333413312224
61032120335040
7112664541426
oct21571221240
96126465756
102380604064
111011875083
12565314480
132bc287477
14188251116
15ddee4279
hex8de522a0

2380604064 has 96 divisors (see below), whose sum is σ = 6325615296. Its totient is φ = 783882240.

The previous prime is 2380604047. The next prime is 2380604081. The reversal of 2380604064 is 4604060832.

It is an interprime number because it is at equal distance from previous prime (2380604047) and next prime (2380604081).

It is a tau number, because it is divible by the number of its divisors (96).

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, 4168899 + ... + 4169469.

It is an arithmetic number, because the mean of its divisors is an integer number (65891826).

Almost surely, 22380604064 is an apocalyptic number.

2380604064 is a gapful number since it is divisible by the number (24) 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 2380604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162807648).

2380604064 is an abundant number, since it is smaller than the sum of its proper divisors (3945011232).

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

2380604064 is a wasteful number, since it uses less digits than its factorization.

2380604064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2380604064 is about 48791.4343302182. The cubic root of 2380604064 is about 1335.2493960975.

Adding to 2380604064 its reverse (4604060832), we get a palindrome (6984664896).

The spelling of 2380604064 in words is "two billion, three hundred eighty million, six hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 317 411 548 571 634 822 951 1096 1142 1268 1644 1713 1902 2192 2284 2536 3288 3426 3804 4384 4568 5072 6576 6852 7608 9136 10144 13152 13704 15216 18272 27408 30432 43429 54816 78227 86858 130287 156454 173716 181007 234681 260574 312908 347432 362014 469362 521148 543021 625816 694864 724028 938724 1042296 1086042 1251632 1389728 1448056 1877448 2084592 2172084 2503264 2896112 3754896 4169184 4344168 5792224 7509792 8688336 17376672 24797959 49595918 74393877 99191836 148787754 198383672 297575508 396767344 595151016 793534688 1190302032 2380604064