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2378728296 = 23347524411
BaseRepresentation
bin1000110111001000…
…1000001101101000
320010202222220210000
42031302020031220
514332423301141
61032012223000
7112642566630
oct21562101550
96122886700
102378728296
11101080385a
1256476aa60
132bba7b749
14187cc36c0
15ddc735b6
hex8dc88368

2378728296 has 80 divisors (see below), whose sum is σ = 7614462240. Its totient is φ = 679635360.

The previous prime is 2378728259. The next prime is 2378728307. The reversal of 2378728296 is 6928278732.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 257670 + ... + 266741.

It is an arithmetic number, because the mean of its divisors is an integer number (95180778).

Almost surely, 22378728296 is an apocalyptic number.

It is an amenable number.

2378728296 is an abundant number, since it is smaller than the sum of its proper divisors (5235733944).

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

2378728296 is a wasteful number, since it uses less digits than its factorization.

2378728296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524436 (or 524423 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2378728296 is about 48772.2082337882. The cubic root of 2378728296 is about 1334.8986061107.

The spelling of 2378728296 in words is "two billion, three hundred seventy-eight million, seven hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 524411 1048822 1573233 2097644 3146466 3670877 4195288 4719699 6292932 7341754 9439398 11012631 12585864 14159097 14683508 18878796 22025262 28318194 29367016 33037893 37757592 42477291 44050524 56636388 66075786 84954582 88101048 99113679 113272776 132151572 169909164 198227358 264303144 297341037 339818328 396454716 594682074 792909432 1189364148 2378728296