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379298304 = 29327111069
BaseRepresentation
bin10110100110111…
…010001000000000
3222102201100110100
4112212322020000
51234100021204
6101345402400
712253660650
oct2646721000
9872640410
10379298304
11185116480
12a7039400
1360773988
1438536360
1523474a39
hex169ba200

379298304 has 240 divisors, whose sum is σ = 1366073280. Its totient is φ = 98426880.

The previous prime is 379298303. The next prime is 379298347. The reversal of 379298304 is 403892973.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 379298304.

It is not an unprimeable number, because it can be changed into a prime (379298303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354282 + ... + 355350.

It is an arithmetic number, because the mean of its divisors is an integer number (5691972).

Almost surely, 2379298304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683036640).

379298304 is an abundant number, since it is smaller than the sum of its proper divisors (986774976).

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

379298304 is a wasteful number, since it uses less digits than its factorization.

379298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 379298304 is about 19475.5822506029. The cubic root of 379298304 is about 723.8695368435.

The spelling of 379298304 in words is "three hundred seventy-nine million, two hundred ninety-eight thousand, three hundred four".