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379938300 = 223527239757
BaseRepresentation
bin10110101001010…
…110010111111100
3222110220212100220
4112221112113330
51234231011200
6101411221340
712262264560
oct2651262774
9873825326
10379938300
111855132a5
12a72a7850
1360939081
14386616a0
152354e4a0
hex16a565fc

379938300 has 144 divisors (see below), whose sum is σ = 1263252480. Its totient is φ = 86365440.

The previous prime is 379938283. The next prime is 379938301. The reversal of 379938300 is 3839973.

It is a happy number.

It is a super-2 number, since 2×3799383002 = 288706223613780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379938301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 501522 + ... + 502278.

Almost surely, 2379938300 is an apocalyptic number.

379938300 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 379938300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631626240).

379938300 is an abundant number, since it is smaller than the sum of its proper divisors (883314180).

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

379938300 is a wasteful number, since it uses less digits than its factorization.

379938300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 379938300 is about 19492.0060537647. The cubic root of 379938300 is about 724.2764402264.

The spelling of 379938300 in words is "three hundred seventy-nine million, nine hundred thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 239 300 350 420 478 525 700 717 757 956 1050 1195 1434 1514 1673 2100 2271 2390 2868 3028 3346 3585 3785 4542 4780 5019 5299 5975 6692 7170 7570 8365 9084 10038 10598 11355 11950 14340 15140 15897 16730 17925 18925 20076 21196 22710 23900 25095 26495 31794 33460 35850 37850 41825 45420 50190 52990 56775 63588 71700 75700 79485 83650 100380 105980 113550 125475 132475 158970 167300 180923 227100 250950 264950 317940 361846 397425 501900 529900 542769 723692 794850 904615 1085538 1266461 1589700 1809230 2171076 2532922 2713845 3618460 3799383 4523075 5065844 5427690 6332305 7598766 9046150 10855380 12664610 13569225 15197532 18092300 18996915 25329220 27138450 31661525 37993830 54276900 63323050 75987660 94984575 126646100 189969150 379938300