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368064 = 263471
BaseRepresentation
bin1011001110111000000
3200200220000
41121313000
543234224
611520000
73062034
oct1316700
9620800
10368064
11231594
12159000
13cb6b8
14981c4
15740c9
hex59dc0

368064 has 70 divisors (see below), whose sum is σ = 1106424. Its totient is φ = 120960.

The previous prime is 368059. The next prime is 368077. The reversal of 368064 is 460863.

It is a super-2 number, since 2×3680642 = 270942216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368064.

It is an unprimeable number.

368064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5149 + ... + 5219.

2368064 is an apocalyptic number.

368064 is the 384-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553212).

368064 is an abundant number, since it is smaller than the sum of its proper divisors (738360).

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

368064 is an equidigital number, since it uses as much as digits as its factorization.

368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368064 is about 606.6827836687. The cubic root of 368064 is about 71.6651114379.

It can be divided in two parts, 36 and 8064, that added together give a square (8100 = 902).

The spelling of 368064 in words is "three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 324 426 432 568 576 639 648 852 864 1136 1278 1296 1704 1728 1917 2272 2556 2592 3408 3834 4544 5112 5184 5751 6816 7668 10224 11502 13632 15336 20448 23004 30672 40896 46008 61344 92016 122688 184032 368064