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379822080 = 2133511281
BaseRepresentation
bin10110101000111…
…010000000000000
3222110200221221110
4112220322000000
51234213301310
6101404523320
712261302001
oct2650720000
9873627843
10379822080
11185443a50
12a7250540
13608c81c1
14386311a8
1523529d20
hex16a3a000

379822080 has 224 divisors, whose sum is σ = 1330561728. Its totient is φ = 91750400.

The previous prime is 379822067. The next prime is 379822081. The reversal of 379822080 is 80228973.

It is not an unprimeable number, because it can be changed into a prime (379822081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351540 + ... + 1351820.

Almost surely, 2379822080 is an apocalyptic number.

379822080 is a gapful number since it is divisible by the number (30) 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 379822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280864).

379822080 is an abundant number, since it is smaller than the sum of its proper divisors (950739648).

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

379822080 is a wasteful number, since it uses less digits than its factorization.

379822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 379822080 is about 19489.0246036070. The cubic root of 379822080 is about 724.2025826271.

It can be divided in two parts, 3798 and 22080, that added together give a triangular number (25878 = T227).

The spelling of 379822080 in words is "three hundred seventy-nine million, eight hundred twenty-two thousand, eighty".