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379920384 = 213325153
BaseRepresentation
bin10110101001010…
…010000000000000
3222110212221210100
4112221102000000
51234224423014
6101411002400
712262161414
oct2651220000
9873787710
10379920384
11185500898
12a7299400
1360930b7c
1438658d44
1523549009
hex16a52000

379920384 has 84 divisors (see below), whose sum is σ = 1097693766. Its totient is φ = 126615552.

The previous prime is 379920367. The next prime is 379920413. The reversal of 379920384 is 483029973.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 305270784 + 74649600 = 17472^2 + 8640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71152 + ... + 76304.

Almost surely, 2379920384 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 379920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548846883).

379920384 is an abundant number, since it is smaller than the sum of its proper divisors (717773382).

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

379920384 is an equidigital number, since it uses as much as digits as its factorization.

379920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5158 counting only the distinct ones).

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

The square root of 379920384 is about 19491.5464753313. The cubic root of 379920384 is about 724.2650556229.

The spelling of 379920384 in words is "three hundred seventy-nine million, nine hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 5153 6144 8192 9216 10306 12288 15459 18432 20612 24576 30918 36864 41224 46377 61836 73728 82448 92754 123672 164896 185508 247344 329792 371016 494688 659584 742032 989376 1319168 1484064 1978752 2638336 2968128 3957504 5276672 5936256 7915008 10553344 11872512 15830016 21106688 23745024 31660032 42213376 47490048 63320064 94980096 126640128 189960192 379920384