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380334080 = 212572379
BaseRepresentation
bin10110101010110…
…111000000000000
3222111122222021102
4112222313000000
51234331142310
6101423513532
712265533500
oct2652670000
9874588242
10380334080
11185763695
12a74588a8
1360a47269
1438725a00
15235cb8a5
hex16ab7000

380334080 has 156 divisors (see below), whose sum is σ = 1064502360. Its totient is φ = 130056192.

The previous prime is 380334079. The next prime is 380334083. The reversal of 380334080 is 80433083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380334083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003331 + ... + 1003709.

Almost surely, 2380334080 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 380334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532251180).

380334080 is an abundant number, since it is smaller than the sum of its proper divisors (684168280).

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

380334080 is an equidigital number, since it uses as much as digits as its factorization.

380334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 380334080 is about 19502.1557782723. The cubic root of 380334080 is about 724.5278447761.

The spelling of 380334080 in words is "three hundred eighty million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 379 392 448 490 512 560 640 758 784 896 980 1024 1120 1280 1516 1568 1792 1895 1960 2048 2240 2560 2653 3032 3136 3584 3790 3920 4096 4480 5120 5306 6064 6272 7168 7580 7840 8960 10240 10612 12128 12544 13265 14336 15160 15680 17920 18571 20480 21224 24256 25088 26530 28672 30320 31360 35840 37142 42448 48512 50176 53060 60640 62720 71680 74284 84896 92855 97024 100352 106120 121280 125440 143360 148568 169792 185710 194048 200704 212240 242560 250880 297136 339584 371420 388096 424480 485120 501760 594272 679168 742840 776192 848960 970240 1003520 1188544 1358336 1485680 1552384 1697920 1940480 2377088 2716672 2971360 3395840 3880960 4754176 5433344 5942720 6791680 7761920 9508352 10866688 11885440 13583360 19016704 23770880 27166720 38033408 47541760 54333440 76066816 95083520 190167040 380334080