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379082984 = 23719973673
BaseRepresentation
bin10110100110000…
…101100011101000
3222102022102002112
4112212011203220
51234021123414
6101341021452
712252103130
oct2646054350
9872272075
10379082984
11184a89725
12a6b54888
13606c9977
14384bbac0
1523430d3e
hex169858e8

379082984 has 64 divisors (see below), whose sum is σ = 864124800. Its totient is φ = 152285184.

The previous prime is 379082981. The next prime is 379082989. The reversal of 379082984 is 489280973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (379082981) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101372 + ... + 105044.

It is an arithmetic number, because the mean of its divisors is an integer number (13501950).

Almost surely, 2379082984 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 379082984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432062400).

379082984 is an abundant number, since it is smaller than the sum of its proper divisors (485041816).

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

379082984 is a wasteful number, since it uses less digits than its factorization.

379082984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 379082984 is about 19470.0535181596. The cubic root of 379082984 is about 723.7325355353.

The spelling of 379082984 in words is "three hundred seventy-nine million, eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 133 152 194 266 388 532 679 776 1064 1358 1843 2716 3673 3686 5432 7346 7372 12901 14692 14744 25711 25802 29384 51422 51604 69787 102844 103208 139574 205688 279148 356281 488509 558296 712562 977018 1425124 1954036 2493967 2850248 3908072 4987934 6769339 9975868 13538678 19951736 27077356 47385373 54154712 94770746 189541492 379082984