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380211200 = 212524779
BaseRepresentation
bin10110101010011…
…001000000000000
3222111102201201022
4112222121000000
51234313224300
6101421125012
712264512315
oct2652310000
9874381638
10380211200
1118568a336
12a73b9768
1360a03355
14386d2d0c
15235a5285
hex16a99000

380211200 has 156 divisors (see below), whose sum is σ = 975056640. Its totient is φ = 146964480.

The previous prime is 380211193. The next prime is 380211217. The reversal of 380211200 is 2112083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4812761 + ... + 4812839.

Almost surely, 2380211200 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 380211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487528320).

380211200 is an abundant number, since it is smaller than the sum of its proper divisors (594845440).

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

380211200 is an equidigital number, since it uses as much as digits as its factorization.

380211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 380211200 is about 19499.0051028251. The cubic root of 380211200 is about 724.4498084952.

Adding to 380211200 its reverse (2112083), we get a palindrome (382323283).

The spelling of 380211200 in words is "three hundred eighty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 79 80 94 100 128 158 160 188 200 235 256 316 320 376 395 400 470 512 632 640 752 790 800 940 1024 1175 1264 1280 1504 1580 1600 1880 1975 2048 2350 2528 2560 3008 3160 3200 3713 3760 3950 4096 4700 5056 5120 6016 6320 6400 7426 7520 7900 9400 10112 10240 12032 12640 12800 14852 15040 15800 18565 18800 20224 20480 24064 25280 25600 29704 30080 31600 37130 37600 40448 48128 50560 51200 59408 60160 63200 74260 75200 80896 92825 96256 101120 102400 118816 120320 126400 148520 150400 161792 185650 192512 202240 237632 240640 252800 297040 300800 323584 371300 404480 475264 481280 505600 594080 601600 742600 808960 950528 962560 1011200 1188160 1203200 1485200 1617920 1901056 2022400 2376320 2406400 2970400 3802112 4044800 4752640 4812800 5940800 7604224 8089600 9505280 11881600 15208448 19010560 23763200 38021120 47526400 76042240 95052800 190105600 380211200