Search a number
-
+
379794000 = 2435363299
BaseRepresentation
bin10110101000110…
…011001001010000
3222110122112102110
4112220303021100
51234211402000
6101404145320
712261124065
oct2650631120
9873575373
10379794000
11185424943
12a7238240
13608b84a1
1438624c6c
1523521850
hex16a33250

379794000 has 80 divisors (see below), whose sum is σ = 1224475200. Its totient is φ = 101276800.

The previous prime is 379793977. The next prime is 379794013. The reversal of 379794000 is 497973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 379794000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25650 + ... + 37649.

It is an arithmetic number, because the mean of its divisors is an integer number (15305940).

Almost surely, 2379794000 is an apocalyptic number.

379794000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379794000 is an abundant number, since it is smaller than the sum of its proper divisors (844681200).

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

379794000 is a wasteful number, since it uses less digits than its factorization.

379794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63325 (or 63309 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 379794000 is about 19488.3041848181. The cubic root of 379794000 is about 724.1847355782.

The spelling of 379794000 in words is "three hundred seventy-nine million, seven hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 63299 126598 189897 253196 316495 379794 506392 632990 759588 949485 1012784 1265980 1519176 1582475 1898970 2531960 3038352 3164950 3797940 4747425 5063920 6329900 7595880 7912375 9494850 12659800 15191760 15824750 18989700 23737125 25319600 31649500 37979400 47474250 63299000 75958800 94948500 126598000 189897000 379794000