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379169280 = 2932572351
BaseRepresentation
bin10110100110011…
…010101000000000
3222102110210110200
4112212122220000
51234031404110
6101342525200
712252612540
oct2646325000
9872423420
10379169280
11185038546
12a6b96800
136072a029
1438501320
152344b6c0
hex1699aa00

379169280 has 240 divisors, whose sum is σ = 1501403904. Its totient is φ = 86630400.

The previous prime is 379169267. The next prime is 379169327. The reversal of 379169280 is 82961973.

379169280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 160105 + ... + 162455.

Almost surely, 2379169280 is an apocalyptic number.

379169280 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 379169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

379169280 is an abundant number, since it is smaller than the sum of its proper divisors (1122234624).

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

379169280 is a wasteful number, since it uses less digits than its factorization.

379169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 379169280 is about 19472.2695133361. The cubic root of 379169280 is about 723.7874491795.

The spelling of 379169280 in words is "three hundred seventy-nine million, one hundred sixty-nine thousand, two hundred eighty".