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379233723 = 31124183307
BaseRepresentation
bin10110100110101…
…010010110111011
3222102121001212110
4112212222112323
51234040434343
6101344143403
712253301451
oct2646522673
9872531773
10379233723
11185081a00
12a7007b63
136075046b
143851a9d1
1523460833
hex169aa5bb

379233723 has 48 divisors (see below), whose sum is σ = 578083968. Its totient is φ = 220809600.

The previous prime is 379233713. The next prime is 379233737. The reversal of 379233723 is 327332973.

It is not a de Polignac number, because 379233723 - 210 = 379232699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379233713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235136 + ... + 1235442.

It is an arithmetic number, because the mean of its divisors is an integer number (12043416).

Almost surely, 2379233723 is an apocalyptic number.

379233723 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

379233723 is a deficient number, since it is larger than the sum of its proper divisors (198850245).

379233723 is a wasteful number, since it uses less digits than its factorization.

379233723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 142884, while the sum is 39.

The square root of 379233723 is about 19473.9241808116. The cubic root of 379233723 is about 723.8284514396.

The spelling of 379233723 in words is "three hundred seventy-nine million, two hundred thirty-three thousand, seven hundred twenty-three".

Divisors: 1 3 11 33 41 83 121 123 249 307 363 451 913 921 1353 2739 3377 3403 4961 10043 10131 10209 12587 14883 25481 30129 37147 37433 37761 76443 111441 112299 138457 280291 411763 415371 840873 1044721 1235289 1523027 3083201 3134163 4569081 9249603 11491931 34475793 126411241 379233723