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380720736 = 2535114451
BaseRepresentation
bin10110101100010…
…101011001100000
3222112101121200000
4112230111121200
51234431030421
6101440100000
712302033664
oct2654253140
9875347600
10380720736
111859a8140
12a7604600
1360b51256
14387c68a4
1523656226
hex16b15660

380720736 has 144 divisors (see below), whose sum is σ = 1225119168. Its totient is φ = 115344000.

The previous prime is 380720723. The next prime is 380720741. The reversal of 380720736 is 637027083.

380720736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 380720736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83311 + ... + 87761.

It is an arithmetic number, because the mean of its divisors is an integer number (8507772).

Almost surely, 2380720736 is an apocalyptic number.

380720736 is a gapful number since it is divisible by the number (36) 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 380720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612559584).

380720736 is an abundant number, since it is smaller than the sum of its proper divisors (844398432).

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

380720736 is a wasteful number, since it uses less digits than its factorization.

380720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 380720736 is about 19512.0664205512. The cubic root of 380720736 is about 724.7732852747.

The spelling of 380720736 in words is "three hundred eighty million, seven hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4451 4752 5346 7128 7776 8902 9504 10692 13353 14256 17804 21384 26706 28512 35608 40059 42768 48961 53412 71216 80118 85536 97922 106824 120177 142432 146883 160236 195844 213648 240354 293766 320472 360531 391688 427296 440649 480708 587532 640944 721062 783376 881298 961416 1081593 1175064 1281888 1321947 1442124 1566752 1762596 1922832 2163186 2350128 2643894 2884248 3525192 3845664 3965841 4326372 4700256 5287788 5768496 7050384 7931682 8652744 10575576 11536992 11897523 14100768 15863364 17305488 21151152 23795046 31726728 34610976 42302304 47590092 63453456 95180184 126906912 190360368 380720736