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379049400 = 233252316793
BaseRepresentation
bin10110100101111…
…101010110111000
3222102020201000200
4112211331112320
51234014040100
6101340202200
712251603202
oct2645752670
9872221020
10379049400
11184a66474
12a6b39360
13606b75b2
14384ad772
1523425e00
hex1697d5b8

379049400 has 144 divisors (see below), whose sum is σ = 1314231360. Its totient is φ = 97804800.

The previous prime is 379049393. The next prime is 379049441. The reversal of 379049400 is 4940973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52404 + ... + 59196.

Almost surely, 2379049400 is an apocalyptic number.

379049400 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 379049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657115680).

379049400 is an abundant number, since it is smaller than the sum of its proper divisors (935181960).

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

379049400 is a wasteful number, since it uses less digits than its factorization.

379049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 379049400 is about 19469.1910463686. The cubic root of 379049400 is about 723.7111624215.

The spelling of 379049400 in words is "three hundred seventy-nine million, forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6793 6975 9300 11160 13586 13950 18600 20379 27172 27900 33965 40758 54344 55800 61137 67930 81516 101895 122274 135860 163032 169825 203790 210583 244548 271720 305685 339650 407580 421166 489096 509475 611370 631749 679300 815160 842332 1018950 1052915 1222740 1263498 1358600 1528425 1684664 1895247 2037900 2105830 2445480 2526996 3056850 3158745 3790494 4075800 4211660 5053992 5264575 6113700 6317490 7580988 8423320 9476235 10529150 12227400 12634980 15161976 15793725 18952470 21058300 25269960 31587450 37904940 42116600 47381175 63174900 75809880 94762350 126349800 189524700 379049400