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379914984 = 233213613877
BaseRepresentation
bin10110101001010…
…000101011101000
3222110212200101100
4112221100223220
51234224234414
6101410521400
712262136601
oct2651205350
9873780340
10379914984
111854a7829
12a7296260
136092b587
1438656da8
1523547609
hex16a50ae8

379914984 has 48 divisors (see below), whose sum is σ = 1029958020. Its totient is φ = 126512640.

The previous prime is 379914973. The next prime is 379915009. The reversal of 379914984 is 489419973.

379914984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 344844900 + 35070084 = 18570^2 + 5922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 379914984.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 96054 + ... + 99930.

Almost surely, 2379914984 is an apocalyptic number.

It is an amenable number.

379914984 is an abundant number, since it is smaller than the sum of its proper divisors (650043036).

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

379914984 is a wasteful number, since it uses less digits than its factorization.

379914984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5243 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 379914984 is about 19491.4079532496. The cubic root of 379914984 is about 724.2616241585.

The spelling of 379914984 in words is "three hundred seventy-nine million, nine hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1361 2722 3877 4083 5444 7754 8166 10888 11631 12249 15508 16332 23262 24498 31016 32664 34893 46524 48996 69786 93048 97992 139572 279144 5276597 10553194 15829791 21106388 31659582 42212776 47489373 63319164 94978746 126638328 189957492 379914984