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366368 = 251072
BaseRepresentation
bin1011001011100100000
3200121120012
41121130200
543210433
611504052
73054062
oct1313440
9617505
10366368
11230292
12158028
13ca9b2
1497732
1573848
hex59720

366368 has 18 divisors (see below), whose sum is σ = 728091. Its totient is φ = 181472.

The previous prime is 366347. The next prime is 366383. The reversal of 366368 is 863663.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

366368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 183184 = 428^2 + 428^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=428.

It is a super-2 number, since 2×3663682 = 268451022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an unprimeable number.

366368 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 2 ways as a sum of consecutive naturals, for example, 3371 + ... + 3477.

2366368 is an apocalyptic number.

It is an amenable number.

366368 is a deficient number, since it is larger than the sum of its proper divisors (361723).

366368 is an equidigital number, since it uses as much as digits as its factorization.

366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 109 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 366368 is about 605.2834046957. The cubic root of 366368 is about 71.5548668466.

Multiplying 366368 by its sum of digits (32), we get a square (11723776 = 34242).

366368 divided by its sum of digits (32) gives a square (11449 = 1072).

The spelling of 366368 in words is "three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 107 214 428 856 1712 3424 11449 22898 45796 91592 183184 366368