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379089984 = 26371321669
BaseRepresentation
bin10110100110000…
…111010001000000
3222102022202200210
4112212013101000
51234021334414
6101341114120
712252132420
oct2646072100
9872282623
10379089984
11184a93a09
12a6b58940
13606ccc00
14384c0480
1523432e59
hex16987440

379089984 has 168 divisors, whose sum is σ = 1241999040. Its totient is φ = 99919872.

The previous prime is 379089961. The next prime is 379090009. The reversal of 379089984 is 489980973.

It is a tau number, because it is divible by the number of its divisors (168).

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, 226302 + ... + 227970.

Almost surely, 2379089984 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 379089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620999520).

379089984 is an abundant number, since it is smaller than the sum of its proper divisors (862909056).

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

379089984 is a wasteful number, since it uses less digits than its factorization.

379089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 379089984 is about 19470.2332805747. The cubic root of 379089984 is about 723.7369902297.

The spelling of 379089984 in words is "three hundred seventy-nine million, eighty-nine thousand, nine hundred eighty-four".